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| Unknown | 1997-03-20 | 14.2 KB |
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| Confidence | Program | Detection | Match Type | Support
|
|---|
| 1%
| dexvert
| Eclipse Tutorial (other/eclipseTutorial)
| ext
| Unsupported |
| 1%
| dexvert
| JuggleKrazy Tutorial (other/juggleKrazyTutorial)
| ext
| Unsupported |
| 100%
| file
| data
| default
| |
| 100%
| gt2
| Kopftext: 'TUTOR 06'
| default (weak)
|
|
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| 54 55 54 4f 52 20 30 36 | 98 31 00 00 3c 07 00 00 |TUTOR 06|.1..<...|
|00000010| 00 17 4f 05 0d 0b 00 57 | 72 6f 6e 67 2e 20 20 52 |..O....W|rong. R|
|00000020| 65 6d 65 6d 62 65 72 20 | 74 68 65 20 63 6f 6d 70 |emember |the comp|
|00000030| 6f 6e 65 6e 74 20 66 6f | 72 6d 20 6f 66 20 61 20 |onent fo|rm of a |
|00000040| 76 65 63 74 6f 72 20 69 | 73 20 6f 62 74 61 69 6e |vector i|s obtain|
|00000050| 65 64 20 62 79 20 73 75 | 62 74 72 61 63 74 69 6e |ed by su|btractin|
|00000060| 67 0d 0a 00 74 68 65 20 | 69 6e 69 74 69 61 6c 20 |g...the |initial |
|00000070| 70 6f 69 6e 74 20 66 72 | 6f 6d 20 74 68 65 20 74 |point fr|om the t|
|00000080| 65 72 6d 69 6e 61 6c 20 | 70 6f 69 6e 74 2e 20 20 |erminal |point. |
|00000090| 49 74 20 6c 6f 6f 6b 73 | 20 6c 69 6b 65 20 79 6f |It looks| like yo|
|000000a0| 75 20 64 69 64 20 74 68 | 65 0d 0a 00 6f 70 70 6f |u did th|e...oppo|
|000000b0| 73 69 74 65 2e 0d 0a 00 | 00 17 4f 04 0d 0b 00 4e |site....|..O....N|
|000000c0| 6f 2e 20 20 54 68 69 73 | 20 69 73 20 74 68 65 20 |o. This| is the |
|000000d0| 63 6f 72 72 65 63 74 20 | 63 6f 6d 70 6f 6e 65 6e |correct |componen|
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|00000120| 00 47 72 65 61 74 21 20 | 20 54 68 65 20 63 6f 6d |.Great! | The com|
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|00000200| 20 28 2d 32 29 20 20 3d | 20 11 34 76 20 11 31 31 | (-2) =| .4v .11|
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|00000220| 0a 00 00 17 4f 03 0d 0b | 00 57 72 6f 6e 67 2e 20 |....O...|.Wrong. |
|00000230| 20 54 68 65 20 63 6f 6d | 70 6f 6e 65 6e 74 20 66 | The com|ponent f|
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|00000260| 28 2d 37 29 2c 20 37 20 | 2d 20 39 11 34 4b 20 11 |(-7), 7 |- 9.4K .|
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|000002d0| 03 0d 0b 00 47 72 65 61 | 74 21 20 20 59 6f 75 20 |....Grea|t! You |
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|00000300| 20 61 6e 73 77 65 72 20 | 69 73 20 11 25 75 20 11 | answer |is .%u .|
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|000003e0| 25 6a 20 11 31 69 73 20 | 63 6f 72 72 65 63 74 2e |%j .1is |correct.|
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|00000400| 17 4f 04 0d 0b 00 4e 6f | 2c 20 49 27 6d 20 73 6f |.O....No|, I'm so|
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|00000430| 3d 20 33 11 25 69 20 11 | 31 2b 20 11 25 6a 20 11 |= 3.%i .|1+ .%j .|
|00000440| 31 69 73 20 63 6f 72 72 | 65 63 74 2e 20 20 52 65 |1is corr|ect. Re|
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|00000460| 0a 00 6c 6f 6f 6b 69 6e | 67 20 66 6f 72 20 74 68 |..lookin|g for th|
|00000470| 65 20 6f 6e 65 20 74 68 | 61 74 20 69 73 20 69 6e |e one th|at is in|
|00000480| 63 6f 72 72 65 63 74 2e | 0d 0a 00 00 17 4f 03 0d |correct.|.....O..|
|00000490| 0b 00 57 72 6f 6e 67 2c | 20 32 11 25 75 20 11 31 |..Wrong,| 2.%u .1|
|000004a0| 2d 20 33 11 25 76 20 11 | 31 3d 20 36 11 25 69 20 |- 3.%v .|1= 6.%i |
|000004b0| 11 31 2b 20 33 11 25 6a | 20 11 31 69 73 20 63 6f |.1+ 3.%j| .1is co|
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|000004d0| 6e 2e 0d 0a 00 00 17 4f | 04 0d 0b 00 46 61 6e 74 |n......O|....Fant|
|000004e0| 61 73 74 69 63 21 20 20 | 59 6f 75 20 73 61 77 20 |astic! |You saw |
|000004f0| 74 68 61 74 20 65 61 63 | 68 20 6f 66 20 74 68 65 |that eac|h of the|
|00000500| 20 61 6e 73 77 65 72 73 | 20 67 69 76 65 6e 20 69 | answers| given i|
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|00000520| 28 63 29 20 61 72 65 0d | 0a 00 63 6f 72 72 65 63 |(c) are.|..correc|
|00000530| 74 2e 0d 0a 00 00 17 4f | 04 0d 0b 00 47 72 65 61 |t......O|....Grea|
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|00000590| 34 7c 11 31 28 73 69 6e | 20 11 34 74 11 31 29 11 |4|.1(sin| .4t.1).|
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|000005b0| 2e 20 20 0d 0a 00 00 17 | 4f 03 0d 0b 00 53 6f 72 |. .....|O....Sor|
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|00000610| 73 21 20 20 43 68 65 63 | 6b 20 74 68 65 20 73 69 |s! Chec|k the si|
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|00000630| 75 6c 61 74 69 6f 6e 20 | 61 6e 64 20 74 72 79 20 |ulation |and try |
|00000640| 61 67 61 69 6e 2e 0d 0a | 00 00 17 4f 03 0d 0b 00 |again...|...O....|
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|00000660| 6f 66 20 74 68 65 20 61 | 6e 73 77 65 72 73 20 67 |of the a|nswers g|
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|00000680| 0d 0a 00 00 17 4f 04 0d | 0b 00 4f 6f 70 73 21 20 |.....O..|..Oops! |
|00000690| 20 49 74 20 73 65 65 6d | 73 20 74 68 61 74 20 79 | It seem|s that y|
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|000006f0| 74 68 69 73 20 69 73 20 | 74 68 65 20 63 6f 72 72 |this is |the corr|
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|00000710| 4f 04 0d 0b 00 57 72 6f | 6e 67 2c 20 61 20 76 65 |O....Wro|ng, a ve|
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|00000790| 0d 0b 00 53 6f 72 72 79 | 2c 20 6f 6e 65 20 6f 66 |...Sorry|, one of|
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|000007d0| 04 0d 0b 00 57 72 6f 6e | 67 2e 20 20 54 68 69 73 |....Wron|g. This|
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|00000860| 0d 0a 00 00 17 4f 04 0d | 0b 00 47 6f 6f 64 2e 20 |.....O..|..Good. |
|00000870| 20 11 25 75 20 11 31 2b | 20 11 25 76 20 11 31 69 | .%u .1+| .%v .1i|
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|00000ad0| 0a 00 00 17 4f 03 0d 0b | 00 52 69 67 68 74 2e 20 |....O...|.Right. |
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|00000b10| 0a 00 00 17 4f 03 0d 0b | 00 4f 6f 70 73 2c 20 63 |....O...|.Oops, c|
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|00000b80| 0d 0b 00 57 72 6f 6e 67 | 2c 20 74 68 65 20 76 65 |...Wrong|, the ve|
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|00000bb0| 20 61 67 61 69 6e 2e 0d | 0a 00 00 17 4f 04 0d 0b | again..|....O...|
|00000bc0| 00 53 6f 72 72 79 2c 20 | 69 74 20 6c 6f 6f 6b 73 |.Sorry, |it looks|
|00000bd0| 20 6c 69 6b 65 20 79 6f | 75 20 63 61 6c 63 75 6c | like yo|u calcul|
|00000be0| 61 74 65 64 20 74 68 65 | 20 6d 61 67 6e 69 74 75 |ated the| magnitu|
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|00000c10| 61 67 61 69 6e 2e 0d 0a | 00 00 17 4f 03 0d 0b 00 |again...|...O....|
|00000c20| 41 6c 6d 6f 73 74 2c 20 | 62 75 74 20 6e 6f 74 20 |Almost, |but not |
|00000c30| 71 75 69 74 65 2e 20 20 | 54 72 79 20 61 67 61 69 |quite. |Try agai|
|00000c40| 6e 2e 0d 0a 00 00 17 4f | 04 0d 0b 00 20 20 20 20 |n......O|.... |
|00000c50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
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|00000c70| 20 20 11 25 76 0d 0b 00 | 11 31 46 61 6e 74 61 73 | .%v...|.1Fantas|
|00000c80| 74 69 63 21 20 20 59 6f | 75 20 6f 62 76 69 6f 75 |tic! Yo|u obviou|
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|00000ca0| 34 32 32 32 20 11 31 63 | 6f 72 72 65 63 74 6c 79 |4222 .1c|orrectly|
|00000cb0| 2e 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |.... | |
|00000cc0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00000cd0| 20 20 20 20 20 20 20 20 | 20 11 34 7c 11 25 76 11 | | .4|.%v.|
|00000ce0| 34 7c 0d 0a 00 00 17 4f | 03 0d 0b 00 53 6f 72 72 |4|.....O|....Sorr|
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|00001390| 20 0e 78 38 2d 33 2d 31 | 0e 54 75 74 6f 72 69 61 | .x8-3-1|.Tutoria|
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|000014c0| 75 74 6f 72 69 61 6c 20 | 45 78 65 72 63 69 73 65 |utorial |Exercise|
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|00001530| 0e 54 75 74 6f 72 69 61 | 6c 20 45 78 65 72 63 69 |.Tutoria|l Exerci|
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|00001570| 00 53 65 63 74 69 6f 6e | 20 38 2e 33 20 20 56 65 |.Section| 8.3 Ve|
|00001580| 63 74 6f 72 73 20 69 6e | 20 74 68 65 20 50 6c 61 |ctors in| the Pla|
|00001590| 6e 65 0d 0b 00 20 31 2e | 20 20 46 69 6e 64 20 74 |ne... 1.| Find t|
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|00001600| 00 20 20 20 20 20 0e 61 | 39 2d 33 2d 39 61 0e 28 |. .a|9-3-9a.(|
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|00001620| 31 2d 33 2c 20 32 11 34 | 4b 20 20 20 20 20 20 20 |1-3, 2.4|K |
|00001630| 20 20 20 20 20 20 0d 0a | 00 20 20 20 20 20 20 20 | ..|. |
|00001640| 20 20 20 20 20 20 20 20 | 20 44 32 32 0d 0b 00 20 | | D22... |
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|00001670| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001680| 20 20 20 0d 0a 00 0d 0b | 00 20 20 20 20 20 0e 61 | .....|. .a|
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|000016d0| 20 20 20 7c 11 25 76 11 | 34 7c 20 11 31 3d 20 11 | |.%v.|4| .1= .|
|000016e0| 34 53 20 11 31 31 33 20 | 0d 0a 00 0d 0b 00 20 20 |4S .113 |...... |
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|00001700| 20 11 25 76 20 11 31 3d | 20 11 34 6b 11 31 31 2c | .%v .1=| .4k.11,|
|00001710| 20 34 11 34 4b 20 20 20 | 20 20 20 20 20 20 20 20 | 4.4K | |
|00001720| 20 20 20 0d 0a 00 20 20 | 20 20 20 20 20 20 20 20 | ... | |
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|00001760| 20 20 20 0d 0a 00 0d 0b | 00 20 20 20 20 20 0e 61 | .....|. .a|
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|00001780| 11 31 3d 20 11 34 6b 11 | 31 31 2c 20 32 11 34 4b |.1= .4k.|11, 2.4K|
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|000017c0| 20 11 31 35 20 20 0d 0a | 00 0d 0a 00 59 6f 75 20 | .15 ..|....You |
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|000017f0| 31 0e 47 75 69 64 65 64 | 20 45 78 61 6d 70 6c 65 |1.Guided| Example|
|00001800| 20 31 2e 0f 0d 0a 00 53 | 65 63 74 69 6f 6e 20 38 | 1.....S|ection 8|
|00001810| 2e 33 20 20 56 65 63 74 | 6f 72 73 20 69 6e 20 74 |.3 Vect|ors in t|
|00001820| 68 65 20 50 6c 61 6e 65 | 20 20 20 20 20 20 20 20 |he Plane| |
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|000018a0| 73 6b 65 74 63 68 20 69 | 74 73 0d 0a 00 20 20 20 |sketch i|ts... |
|000018b0| 20 20 67 72 61 70 68 2e | 0d 0a 00 0d 0b 00 20 20 | graph.|...... |
|000018c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 11 34 | | .4|
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|00001940| 11 31 0e 61 39 2d 33 2d | 33 33 62 0e 28 62 29 0f |.1.a9-3-|33b.(b).|
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|000019f0| 0d 0a 00 0d 0a 00 0d 0a | 00 0d 0a 00 0d 0a 00 20 |........|....... |
|00001a00| 20 20 20 20 20 0e 61 39 | 2d 33 2d 33 33 64 0e 28 | .a9|-3-33d.(|
|00001a10| 64 29 0f 20 4e 6f 6e 65 | 20 6f 66 20 74 68 65 73 |d). None| of thes|
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|00001a40| 38 2d 33 2d 32 0e 69 38 | 2d 33 2d 32 0e 49 6e 74 |8-3-2.i8|-3-2.Int|
|00001a50| 65 67 72 61 74 65 64 20 | 45 78 61 6d 70 6c 65 20 |egrated |Example |
|00001a60| 32 2e 0f 0d 0a 00 53 65 | 63 74 69 6f 6e 20 38 2e |2.....Se|ction 8.|
|00001a70| 33 20 20 56 65 63 74 6f | 72 73 20 69 6e 20 74 68 |3 Vecto|rs in th|
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|00001aa0| 31 3d 20 32 20 61 6e 64 | 20 11 25 76 20 11 31 69 |1= 2 and| .%v .1i|
|00001ab0| 6e 20 74 68 65 20 64 69 | 72 65 63 74 69 6f 6e 20 |n the di|rection |
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|00001ad0| 66 69 6e 64 20 74 68 65 | 20 63 6f 6d 70 6f 6e 65 |find the| compone|
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|00001af0| 6f 66 20 11 25 76 20 11 | 31 61 6e 64 20 73 6b 65 |of .%v .|1and ske|
|00001b00| 74 63 68 20 69 74 73 20 | 67 72 61 70 68 2e 0d 0a |tch its |graph...|
|00001b10| 00 0d 0a 00 20 20 20 20 | 20 20 20 20 11 34 44 32 |.... | .4D2|
|00001b20| 32 20 20 20 20 20 20 20 | 44 32 32 20 20 20 20 20 |2 |D22 |
|00001b30| 20 20 20 20 20 20 20 20 | 20 44 32 32 20 20 20 20 | | D22 |
|00001b40| 20 20 44 32 32 20 20 20 | 20 20 20 20 20 20 20 20 | D22 | |
|00001b50| 20 20 20 20 44 32 32 20 | 20 20 20 20 20 44 32 32 | D22 | D22|
|00001b60| 0d 0b 00 20 11 31 0e 61 | 39 2d 33 2d 33 37 61 0e |... .1.a|9-3-37a.|
|00001b70| 28 61 29 0f 20 11 34 6b | 11 31 2d 11 34 53 20 11 |(a). .4k|.1-.4S .|
|00001b80| 31 31 30 2f 35 2c 20 2d | 33 11 34 53 20 11 31 31 |110/5, -|3.4S .11|
|00001b90| 30 2f 35 11 34 4b 20 20 | 20 20 20 11 31 0e 61 39 |0/5.4K | .1.a9|
|00001ba0| 2d 33 2d 33 37 62 0e 28 | 62 29 0f 20 11 34 6b 53 |-3-37b.(|b). .4kS|
|00001bb0| 20 11 31 31 30 2f 35 2c | 20 33 11 34 53 20 11 31 | .110/5,| 3.4S .1|
|00001bc0| 31 30 2f 35 11 34 4b 20 | 20 20 20 20 11 31 0e 61 |10/5.4K | .1.a|
|00001bd0| 39 2d 33 2d 33 37 63 0e | 28 63 29 0f 20 11 34 6b |9-3-37c.|(c). .4k|
|00001be0| 11 31 2d 11 34 53 20 11 | 31 31 30 2f 35 2c 20 33 |.1-.4S .|110/5, 3|
|00001bf0| 11 34 53 20 11 31 31 30 | 2f 35 11 34 4b 0d 0a 00 |.4S .110|/5.4K...|
|00001c00| 0d 0a 00 0d 0a 00 0d 0a | 00 0d 0a 00 11 31 14 39 |........|.....1.9|
|00001c10| 2d 33 2d 36 2e 61 74 14 | 36 14 37 14 32 35 14 38 |-3-6.at.|6.7.25.8|
|00001c20| 14 20 20 20 14 39 2d 33 | 2d 37 2e 61 74 14 33 30 |. .9-3|-7.at.30|
|00001c30| 14 37 14 32 35 14 38 14 | 20 20 20 14 39 2d 33 2d |.7.25.8.| .9-3-|
|00001c40| 38 2e 61 74 14 35 34 14 | 37 14 32 35 14 38 14 0d |8.at.54.|7.25.8..|
|00001c50| 0a 00 0d 0a 00 0d 0a 00 | 0d 0a 00 20 0e 61 39 2d |........|... .a9-|
|00001c60| 33 2d 33 37 64 0e 28 64 | 29 0f 20 4e 6f 6e 65 20 |3-37d.(d|). None |
|00001c70| 6f 66 20 74 68 65 73 65 | 0d 0a 00 0d 0a 00 59 6f |of these|......Yo|
|00001c80| 75 20 6d 61 79 20 77 61 | 6e 74 20 74 6f 20 72 65 |u may wa|nt to re|
|00001c90| 76 69 65 77 20 10 61 38 | 2d 33 2d 32 0e 69 38 2d |view .a8|-3-2.i8-|
|00001ca0| 33 2d 32 0e 49 6e 74 65 | 67 72 61 74 65 64 20 45 |3-2.Inte|grated E|
|00001cb0| 78 61 6d 70 6c 65 20 32 | 2e 0f 0d 0a 00 53 65 63 |xample 2|.....Sec|
|00001cc0| 74 69 6f 6e 20 38 2e 33 | 20 20 56 65 63 74 6f 72 |tion 8.3| Vector|
|00001cd0| 73 20 69 6e 20 74 68 65 | 20 50 6c 61 6e 65 0d 0b |s in the| Plane..|
|00001ce0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |. | |
|00001cf0| 20 20 20 20 20 20 20 20 | 20 20 20 11 34 6f 20 20 | | .4o |
|00001d00| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d10| 20 20 20 6f 0d 0b 00 11 | 31 31 32 2e 20 20 47 69 | o....|112. Gi|
|00001d20| 76 65 6e 20 11 34 7c 11 | 25 75 11 34 7c 20 11 31 |ven .4|.|%u.4| .1|
|00001d30| 3d 20 38 2c 20 11 34 74 | 20 20 11 31 3d 20 30 20 |= 8, .4t| .1= 0 |
|00001d40| 20 61 6e 64 20 11 34 7c | 11 25 76 11 34 7c 20 11 | and .4||.%v.4| .|
|00001d50| 31 3d 20 38 2c 20 11 34 | 74 20 20 11 31 3d 20 39 |1= 8, .4|t .1= 9|
|00001d60| 30 20 2c 20 66 69 6e 64 | 20 74 68 65 20 63 6f 6d |0 , find| the com|
|00001d70| 70 6f 6e 65 6e 74 20 66 | 6f 72 6d 0d 0b 00 20 20 |ponent f|orm... |
|00001d80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001d90| 20 20 20 11 32 75 20 20 | 20 20 20 20 20 20 20 20 | .2u | |
|00001da0| 20 20 20 20 20 20 20 20 | 20 20 76 0d 0a 00 20 20 | | v... |
|00001db0| 20 20 20 11 31 6f 66 20 | 11 25 75 20 11 31 2b 20 | .1of |.%u .1+ |
|00001dc0| 11 25 76 11 31 2e 0d 0a | 00 0d 0a 00 20 20 20 20 |.%v.1...|.... |
|00001dd0| 20 0e 61 39 2d 33 2d 34 | 35 61 0e 28 61 29 0f 20 | .a9-3-4|5a.(a). |
|00001de0| 20 11 34 6b 11 31 38 2c | 20 38 11 34 4b 20 20 20 | .4k.18,| 8.4K |
|00001df0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001e00| 20 11 31 0e 61 39 2d 33 | 2d 34 35 62 0e 28 62 29 | .1.a9-3|-45b.(b)|
|00001e10| 0f 20 20 11 34 6b 11 31 | 2d 38 2c 20 38 11 34 4b |. .4k.1|-8, 8.4K|
|00001e20| 20 20 20 0d 0a 00 0d 0b | 00 20 20 20 20 20 11 31 | .....|. .1|
|00001e30| 0e 61 39 2d 33 2d 34 35 | 63 0e 28 63 29 0f 20 20 |.a9-3-45|c.(c). |
|00001e40| 11 34 6b 11 31 38 2c 20 | 2d 38 11 34 4b 20 20 20 |.4k.18, |-8.4K |
|00001e50| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00001e60| 11 31 0e 61 39 2d 33 2d | 34 35 64 0e 28 64 29 0f |.1.a9-3-|45d.(d).|
|00001e70| 20 20 11 34 6b 11 31 30 | 2c 20 38 11 34 4b 0d 0a | .4k.10|, 8.4K..|
|00001e80| 00 0d 0a 00 11 31 59 6f | 75 20 6d 61 79 20 77 61 |.....1Yo|u may wa|
|00001e90| 6e 74 20 74 6f 20 72 65 | 76 69 65 77 20 10 61 38 |nt to re|view .a8|
|00001ea0| 2d 33 2d 32 0e 69 38 2d | 33 2d 34 0e 49 6e 74 65 |-3-2.i8-|3-4.Inte|
|00001eb0| 67 72 61 74 65 64 20 45 | 78 61 6d 70 6c 65 20 34 |grated E|xample 4|
|00001ec0| 2e 0f 0d 0a 00 53 65 63 | 74 69 6f 6e 20 38 2e 33 |.....Sec|tion 8.3|
|00001ed0| 20 20 56 65 63 74 6f 72 | 73 20 69 6e 20 74 68 65 | Vector|s in the|
|00001ee0| 20 50 6c 61 6e 65 0d 0b | 00 31 33 2e 20 20 46 69 | Plane..|.13. Fi|
|00001ef0| 6e 64 20 74 68 65 20 63 | 6f 6d 70 6f 6e 65 6e 74 |nd the c|omponent|
|00001f00| 20 66 6f 72 6d 20 6f 66 | 20 11 25 76 20 11 31 3d | form of| .%v .1=|
|00001f10| 20 11 25 75 20 11 31 2b | 20 32 11 25 77 11 31 2c | .%u .1+| 2.%w.1,|
|00001f20| 20 77 68 65 72 65 20 11 | 25 75 20 11 31 3d 20 33 | where .|%u .1= 3|
|00001f30| 11 25 69 20 11 31 2d 20 | 34 11 25 6a 20 11 31 61 |.%i .1- |4.%j .1a|
|00001f40| 6e 64 20 11 25 77 20 11 | 31 3d 20 11 25 69 20 11 |nd .%w .|1= .%i .|
|00001f50| 31 2b 20 34 11 25 6a 11 | 31 2e 0d 0a 00 0d 0a 00 |1+ 4.%j.|1.......|
|00001f60| 20 20 20 20 20 0e 61 39 | 2d 33 2d 34 31 61 0e 28 | .a9|-3-41a.(|
|00001f70| 61 29 0f 20 11 25 76 20 | 11 31 3d 20 11 34 6b 11 |a). .%v |.1= .4k.|
|00001f80| 31 34 2c 20 30 11 34 4b | 20 20 20 20 20 20 20 20 |14, 0.4K| |
|00001f90| 20 20 20 20 20 20 20 20 | 20 11 31 0e 61 39 2d 33 | | .1.a9-3|
|00001fa0| 2d 34 31 62 0e 28 62 29 | 0f 20 11 25 76 20 11 31 |-41b.(b)|. .%v .1|
|00001fb0| 3d 20 11 34 6b 11 31 34 | 2c 20 2d 32 11 34 4b 20 |= .4k.14|, -2.4K |
|00001fc0| 20 20 0d 0a 00 0d 0b 00 | 20 20 20 20 20 11 31 0e | ......| .1.|
|00001fd0| 61 39 2d 33 2d 34 31 63 | 0e 28 63 29 0f 20 11 25 |a9-3-41c|.(c). .%|
|00001fe0| 76 20 11 31 3d 20 11 34 | 6b 11 31 35 2c 20 34 11 |v .1= .4|k.15, 4.|
|00001ff0| 34 4b 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |4K | |
|00002000| 20 20 20 11 31 0e 61 39 | 2d 33 2d 34 31 64 0e 28 | .1.a9|-3-41d.(|
|00002010| 64 29 0f 20 4e 6f 6e 65 | 20 6f 66 20 74 68 65 73 |d). None| of thes|
|00002020| 65 0d 0a 00 0d 0a 00 59 | 6f 75 20 6d 61 79 20 77 |e......Y|ou may w|
|00002030| 61 6e 74 20 74 6f 20 72 | 65 76 69 65 77 20 10 61 |ant to r|eview .a|
|00002040| 38 2d 33 2d 32 0e 69 38 | 2d 33 2d 33 0e 49 6e 74 |8-3-2.i8|-3-3.Int|
|00002050| 65 67 72 61 74 65 64 20 | 45 78 61 6d 70 6c 65 20 |egrated |Example |
|00002060| 33 2e 0f 0d 0a 00 53 65 | 63 74 69 6f 6e 20 38 2e |3.....Se|ction 8.|
|00002070| 33 20 20 56 65 63 74 6f | 72 73 20 69 6e 20 74 68 |3 Vecto|rs in th|
|00002080| 65 20 50 6c 61 6e 65 0d | 0b 00 20 32 2e 20 20 46 |e Plane.|.. 2. F|
|00002090| 69 6e 64 20 74 68 65 20 | 63 6f 6d 70 6f 6e 65 6e |ind the |componen|
|000020a0| 74 20 66 6f 72 6d 20 61 | 6e 64 20 74 68 65 20 6d |t form a|nd the m|
|000020b0| 61 67 6e 69 74 75 64 65 | 20 6f 66 20 74 68 65 20 |agnitude| of the |
|000020c0| 76 65 63 74 6f 72 20 77 | 69 74 68 20 69 6e 69 74 |vector w|ith init|
|000020d0| 69 61 6c 0d 0a 00 20 20 | 20 20 20 70 6f 69 6e 74 |ial... | point|
|000020e0| 20 28 2d 37 2c 20 39 29 | 20 61 6e 64 20 74 65 72 | (-7, 9)| and ter|
|000020f0| 6d 69 6e 61 6c 20 70 6f | 69 6e 74 20 28 32 35 2c |minal po|int (25,|
|00002100| 20 37 29 2e 0d 0a 00 0d | 0a 00 20 20 20 20 20 0e | 7).....|.. .|
|00002110| 61 39 2d 33 2d 31 33 61 | 0e 28 61 29 0f 20 11 25 |a9-3-13a|.(a). .%|
|00002120| 76 20 11 31 3d 20 11 34 | 6b 11 31 2d 33 32 2c 20 |v .1= .4|k.1-32, |
|00002130| 32 11 34 4b 20 20 20 20 | 20 20 20 20 20 20 20 20 |2.4K | |
|00002140| 20 20 20 20 20 11 31 0e | 61 39 2d 33 2d 31 33 62 | .1.|a9-3-13b|
|00002150| 0e 28 62 29 0f 20 11 34 | 6b 11 31 33 32 2c 20 2d |.(b). .4|k.132, -|
|00002160| 32 11 34 4b 0d 0a 00 20 | 20 20 20 20 20 20 20 20 |2.4K... | |
|00002170| 7c 11 25 76 11 34 7c 20 | 7e 20 11 31 33 32 2e 31 ||.%v.4| |~ .132.1|
|00002180| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|00002190| 20 20 20 20 20 20 20 11 | 34 7c 11 25 76 11 34 7c | .|4|.%v.4||
|000021a0| 20 11 31 3d 20 31 30 32 | 38 0d 0a 00 0d 0b 00 20 | .1= 102|8...... |
|000021b0| 20 20 20 20 0e 61 39 2d | 33 2d 31 33 63 0e 28 63 | .a9-|3-13c.(c|
|000021c0| 29 0f 20 11 25 76 20 11 | 31 3d 20 11 34 6b 11 31 |). .%v .|1= .4k.1|
|000021d0| 33 32 2c 20 2d 32 11 34 | 4b 20 20 20 20 20 20 20 |32, -2.4|K |
|000021e0| 20 20 20 20 20 20 20 20 | 20 20 11 31 0e 61 39 2d | | .1.a9-|
|000021f0| 33 2d 31 33 64 0e 28 64 | 29 0f 20 11 34 6b 11 31 |3-13d.(d|). .4k.1|
|00002200| 31 38 2c 20 2d 32 11 34 | 4b 0d 0a 00 20 20 20 20 |18, -2.4|K... |
|00002210| 20 20 20 20 20 7c 11 25 | 76 11 34 7c 20 7e 20 11 | |.%|v.4| ~ .|
|00002220| 31 33 32 2e 31 20 20 20 | 20 20 20 20 20 20 20 20 |132.1 | |
|00002230| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 34 7c 11 | | .4|.|
|00002240| 25 76 11 34 7c 20 7e 20 | 11 31 31 38 2e 31 0d 0a |%v.4| ~ |.118.1..|
|00002250| 00 0d 0a 00 59 6f 75 20 | 6d 61 79 20 77 61 6e 74 |....You |may want|
|00002260| 20 74 6f 20 72 65 76 69 | 65 77 20 10 61 38 2d 33 | to revi|ew .a8-3|
|00002270| 2d 32 0e 65 38 2d 33 2d | 31 0e 47 75 69 64 65 64 |-2.e8-3-|1.Guided|
|00002280| 20 45 78 61 6d 70 6c 65 | 20 31 2e 0f 0d 0a 00 53 | Example| 1.....S|
|00002290| 65 63 74 69 6f 6e 20 38 | 2e 33 20 20 56 65 63 74 |ection 8|.3 Vect|
|000022a0| 6f 72 73 20 69 6e 20 74 | 68 65 20 50 6c 61 6e 65 |ors in t|he Plane|
|000022b0| 0d 0b 00 20 33 2e 20 20 | 47 69 76 65 6e 20 11 25 |... 3. |Given .%|
|000022c0| 75 20 11 31 3d 20 11 34 | 6b 11 31 2d 35 2c 20 34 |u .1= .4|k.1-5, 4|
|000022d0| 11 34 4b 20 11 31 61 6e | 64 20 11 25 76 20 11 31 |.4K .1an|d .%v .1|
|000022e0| 3d 20 11 34 6b 11 31 2d | 33 2c 20 31 11 34 4b 11 |= .4k.1-|3, 1.4K.|
|000022f0| 31 2c 20 77 68 69 63 68 | 20 6f 6e 65 20 6f 66 20 |1, which| one of |
|00002300| 74 68 65 20 66 6f 6c 6c | 6f 77 69 6e 67 20 69 73 |the foll|owing is|
|00002310| 0d 0a 00 20 20 20 20 20 | 69 6e 63 6f 72 72 65 63 |... |incorrec|
|00002320| 74 3f 0d 0a 00 0d 0a 00 | 20 20 20 20 20 0e 61 39 |t?......| .a9|
|00002330| 2d 33 2d 31 39 61 0e 28 | 61 29 0f 20 11 25 75 20 |-3-19a.(|a). .%u |
|00002340| 11 31 2b 20 11 25 76 20 | 11 31 3d 20 11 34 6b 11 |.1+ .%v |.1= .4k.|
|00002350| 31 2d 38 2c 20 35 11 34 | 4b 20 20 20 20 20 20 20 |1-8, 5.4|K |
|00002360| 20 20 20 20 20 20 20 11 | 31 0e 61 39 2d 33 2d 31 | .|1.a9-3-1|
|00002370| 39 62 0e 28 62 29 0f 20 | 11 25 75 20 11 31 2d 20 |9b.(b). |.%u .1- |
|00002380| 11 25 76 20 11 31 3d 20 | 11 34 6b 11 31 2d 38 2c |.%v .1= |.4k.1-8,|
|00002390| 20 33 11 34 4b 0d 0a 00 | 0d 0b 00 20 20 20 20 20 | 3.4K...|... |
|000023a0| 11 31 0e 61 39 2d 33 2d | 31 39 63 0e 28 63 29 0f |.1.a9-3-|19c.(c).|
|000023b0| 20 32 11 25 75 20 11 31 | 2d 20 33 11 25 76 20 11 | 2.%u .1|- 3.%v .|
|000023c0| 31 3d 20 11 34 6b 11 31 | 2d 31 2c 20 35 11 34 4b |1= .4k.1|-1, 5.4K|
|000023d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 31 0e 61 | | .1.a|
|000023e0| 39 2d 33 2d 31 39 64 0e | 28 64 29 0f 20 4e 6f 6e |9-3-19d.|(d). Non|
|000023f0| 65 20 6f 66 20 74 68 65 | 73 65 0d 0a 00 0d 0a 00 |e of the|se......|
|00002400| 59 6f 75 20 6d 61 79 20 | 77 61 6e 74 20 74 6f 20 |You may |want to |
|00002410| 72 65 76 69 65 77 20 10 | 61 38 2d 33 2d 32 0e 65 |review .|a8-3-2.e|
|00002420| 38 2d 33 2d 32 0e 47 75 | 69 64 65 64 20 45 78 61 |8-3-2.Gu|ided Exa|
|00002430| 6d 70 6c 65 20 32 2e 0f | 0d 0a 00 53 65 63 74 69 |mple 2..|...Secti|
|00002440| 6f 6e 20 38 2e 33 20 20 | 56 65 63 74 6f 72 73 20 |on 8.3 |Vectors |
|00002450| 69 6e 20 74 68 65 20 50 | 6c 61 6e 65 0d 0b 00 20 |in the P|lane... |
|00002460| 34 2e 20 20 47 69 76 65 | 6e 20 11 25 75 20 11 31 |4. Give|n .%u .1|
|00002470| 3d 20 33 11 25 69 20 11 | 31 61 6e 64 20 11 25 76 |= 3.%i .|1and .%v|
|00002480| 20 11 31 3d 20 2d 11 25 | 6a 11 31 2c 20 77 68 69 | .1= -.%|j.1, whi|
|00002490| 63 68 20 6f 66 20 74 68 | 65 20 66 6f 6c 6c 6f 77 |ch of th|e follow|
|000024a0| 69 6e 67 20 28 69 66 20 | 61 6e 79 29 20 69 73 20 |ing (if |any) is |
|000024b0| 69 6e 63 6f 72 72 65 63 | 74 3f 0d 0a 00 0d 0a 00 |incorrec|t?......|
|000024c0| 20 20 20 20 20 0e 61 39 | 2d 33 2d 32 35 61 0e 28 | .a9|-3-25a.(|
|000024d0| 61 29 0f 20 11 25 75 20 | 11 31 2b 20 11 25 76 20 |a). .%u |.1+ .%v |
|000024e0| 11 31 3d 20 33 11 25 69 | 20 11 31 2d 20 11 25 6a |.1= 3.%i| .1- .%j|
|000024f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 31 0e | | .1.|
|00002500| 61 39 2d 33 2d 32 35 62 | 0e 28 62 29 0f 20 11 25 |a9-3-25b|.(b). .%|
|00002510| 75 20 11 31 2d 20 11 25 | 76 20 11 31 3d 20 33 11 |u .1- .%|v .1= 3.|
|00002520| 25 69 20 11 31 2b 20 11 | 25 6a 0d 0a 00 0d 0b 00 |%i .1+ .|%j......|
|00002530| 20 20 20 20 20 11 31 0e | 61 39 2d 33 2d 32 35 63 | .1.|a9-3-25c|
|00002540| 0e 28 63 29 0f 20 32 11 | 25 75 20 11 31 2d 20 33 |.(c). 2.|%u .1- 3|
|00002550| 11 25 76 20 11 31 3d 20 | 36 11 25 69 20 11 31 2b |.%v .1= |6.%i .1+|
|00002560| 20 33 11 25 6a 20 20 20 | 20 20 20 20 20 20 20 11 | 3.%j | .|
|00002570| 31 0e 61 39 2d 33 2d 32 | 35 64 0e 28 64 29 0f 20 |1.a9-3-2|5d.(d). |
|00002580| 4e 6f 6e 65 20 6f 66 20 | 74 68 65 73 65 0d 0a 00 |None of |these...|
|00002590| 0d 0a 00 59 6f 75 20 6d | 61 79 20 77 61 6e 74 20 |...You m|ay want |
|000025a0| 74 6f 20 72 65 76 69 65 | 77 20 10 61 38 2d 33 2d |to revie|w .a8-3-|
|000025b0| 32 0e 65 38 2d 33 2d 32 | 0e 47 75 69 64 65 64 20 |2.e8-3-2|.Guided |
|000025c0| 45 78 61 6d 70 6c 65 20 | 32 2e 0f 0d 0a 00 53 65 |Example |2.....Se|
|000025d0| 63 74 69 6f 6e 20 38 2e | 33 20 20 56 65 63 74 6f |ction 8.|3 Vecto|
|000025e0| 72 73 20 69 6e 20 74 68 | 65 20 50 6c 61 6e 65 0d |rs in th|e Plane.|
|000025f0| 0b 00 20 35 2e 20 20 46 | 69 6e 64 20 61 20 75 6e |.. 5. F|ind a un|
|00002600| 69 74 20 76 65 63 74 6f | 72 20 69 6e 20 74 68 65 |it vecto|r in the|
|00002610| 20 64 69 72 65 63 74 69 | 6f 6e 20 6f 66 20 11 25 | directi|on of .%|
|00002620| 76 20 11 31 3d 20 35 11 | 25 69 20 11 31 2d 20 31 |v .1= 5.|%i .1- 1|
|00002630| 32 11 25 6a 11 31 2e 0d | 0a 00 0d 0a 00 20 20 20 |2.%j.1..|..... |
|00002640| 20 20 20 20 20 20 20 20 | 20 20 11 34 44 32 32 20 | | .4D22 |
|00002650| 20 20 20 20 20 44 32 32 | 0d 0b 00 20 20 20 20 20 | D22|... |
|00002660| 11 31 0e 61 39 2d 33 2d | 34 39 61 0e 28 61 29 0f |.1.a9-3-|49a.(a).|
|00002670| 20 11 34 6b 11 31 34 2f | 11 34 53 20 11 31 31 37 | .4k.14/|.4S .117|
|00002680| 2c 20 2d 33 2f 11 34 53 | 20 11 31 31 37 11 34 4b |, -3/.4S| .117.4K|
|00002690| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 31 0e 61 | | .1.a|
|000026a0| 39 2d 33 2d 34 39 62 0e | 28 62 29 0f 20 11 34 6b |9-3-49b.|(b). .4k|
|000026b0| 11 31 35 2f 31 33 2c 20 | 31 32 2f 31 33 11 34 4b |.15/13, |12/13.4K|
|000026c0| 0d 0a 00 0d 0b 00 20 20 | 20 20 20 11 31 0e 61 39 |...... | .1.a9|
|000026d0| 2d 33 2d 34 39 63 0e 28 | 63 29 0f 20 11 34 6b 11 |-3-49c.(|c). .4k.|
|000026e0| 31 35 2f 31 33 2c 20 2d | 31 32 2f 31 33 11 34 4b |15/13, -|12/13.4K|
|000026f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 | | .|
|00002700| 31 0e 61 39 2d 33 2d 34 | 39 64 0e 28 64 29 0f 20 |1.a9-3-4|9d.(d). |
|00002710| 4e 6f 6e 65 20 6f 66 20 | 74 68 65 73 65 0d 0a 00 |None of |these...|
|00002720| 0d 0a 00 59 6f 75 20 6d | 61 79 20 77 61 6e 74 20 |...You m|ay want |
|00002730| 74 6f 20 72 65 76 69 65 | 77 20 10 61 38 2d 33 2d |to revie|w .a8-3-|
|00002740| 32 0e 65 38 2d 33 2d 33 | 0e 47 75 69 64 65 64 20 |2.e8-3-3|.Guided |
|00002750| 45 78 61 6d 70 6c 65 20 | 33 2e 0f 0d 0a 00 53 65 |Example |3.....Se|
|00002760| 63 74 69 6f 6e 20 38 2e | 33 20 20 56 65 63 74 6f |ction 8.|3 Vecto|
|00002770| 72 73 20 69 6e 20 74 68 | 65 20 50 6c 61 6e 65 0d |rs in th|e Plane.|
|00002780| 0b 00 20 36 2e 20 20 55 | 73 65 20 74 68 65 20 4c |.. 6. U|se the L|
|00002790| 61 77 20 6f 66 20 43 6f | 73 69 6e 65 73 20 74 6f |aw of Co|sines to|
|000027a0| 20 66 69 6e 64 20 74 68 | 65 20 61 6e 67 6c 65 20 | find th|e angle |
|000027b0| 11 34 61 20 11 31 62 65 | 74 77 65 65 6e 20 74 68 |.4a .1be|tween th|
|000027c0| 65 20 76 65 63 74 6f 72 | 73 20 0d 0a 00 20 20 20 |e vector|s ... |
|000027d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000027e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 | | |
|000027f0| 20 20 20 20 20 20 20 20 | 20 20 11 34 6f 20 20 20 | | .4o |
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|00002810| 11 25 76 20 11 31 3d 20 | 11 25 69 20 11 31 2b 20 |.%v .1= |.%i .1+ |
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+--------+-------------------------+-------------------------+--------+--------+
