home *** CD-ROM | disk | FTP | other *** search
- On Mon, 12 Feb 1996, Paul Rowntree wrote:
-
- > Christopher H. Clark wrote:
- > >
- > > Jonathan Cohen wrote:
- > > >
- > > > In article <3118310E.52F@psu.edu>, Christopher H. Clark <chc104@psu.edu> wrote:
- > > > >Actually, you only need 2 points to define a plane: a point on the plane and
- > > > >a normal vector.
- > > >
- > > > Sorry to quibble, but...
- > > >
- > > > A VECTOR IS NOT A POINT!!!!
- > > >
- > > > Now back to our regular program.
- > >
- > > Points are vectors.
- > > ^^^^^^^^^^^^^^^^^^
- >
- > Sorry, but I must take offense here. A point in Cartesian space has three
- > aspects [X,Y,Z]. A vector requires a direction, and depending on how sticky you
- > are, probably a length. This implies 6 independent aspects. Result; A plane
- > requires 3 points. Always.
- >
- > Cheers
- >
- A vector has a direction and magnitude. That is 4 parameters.
- YOu can consider a point to be a vector from (0,0,0) to (x,y,z).
- However a vector (x,y,z) could be a vector from (x1,y1,z2) to (x2,y2,z3).
- The point has a fixed location with respect to the coordinate axes while
- the vector has no fixed location with respect to the coordinate axes.
-
- David Matiskella
- matiskel@aa.washington.edu
-
-
-