Vector Magnitude

A two dimensional vector can be written using the notation 3i+4j. What is its magnitude? The magnitude of a vector is the square root of the sum of the squares of the magnitudes of its components. The components of a vector written in vector notation (i.e., Xi+Yj) are the terms that are added together (Xi and Yj, in this case). The magnitude of a component along one of the coordinate axes, such as Xi, is simply the number X.