Vectors and Scalars

 

A vector has a magnitude (length) and a direction.

A scalar has no direction. Its value may be negative.


Example : Displacement is a vector .
When a particle changes its position from A to B, it undergoes a displacement from A to B, which we represent with an arrow pointing from A to B.  The displacement tells us nothing about the actual path the particle takes.

            notation

 


Example: Temperature is a scalar

T = -100 C.


A vector can be shifted without changing its value, if its magnitude (length) and direction are not changed.

All are equivalent