Vector Multiplication
1. Scalar Multiplication
Scalar Multiplication
Multiplying a given vector say A by a scalar say m generates a new vector say B which is called as a scalar multiple of A. The vectors which are lying along the same straight line are known as co-linear vectors.
When we multiply a vector by a scalar, then the magnitude of the vector changes, but leaves its direction is unchanged. That is scalar multiplication changes the size of the vector. (The scalar "scales" the vector).A = x î + y ĵ
when A is multiplied by the scalar a then
B=m A = m(x î + y ĵ)
Multiplication of a vector by a scalar is distributive.