Skip to main content
Completion requirements

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  + y 

when A is multiplied by the scalar a then       

B=m A = m(x  + y ĵ)

Multiplication of a vector by a scalar is distributive.

loader image