What is the difference between a scalar, a vector, and a unit vector? Can we take the product of two vectors?
1 Answer
Aug 12, 2017
See below.
Explanation:

A scalar quantity has magnitude but no direction. An example of a scalar quantity is density.

A vector quantity has both magnitude and direction. An example of a vector quantity is force.

A unit vector is a vector with magnitude
#1# . An example of a unit vector is#hati# . 
There are many physical quantities which are expressed as the product of two vectors. For example, magnetic force is given as the cross product
#vecF=vecIvxxvecB# . Additionally, work is given as the dot product#W=vecF*vecd# .