What is the difference between a scalar, a vector, and a unit vector? Can we take the product of two vectors?

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Answer 1 · 2017-08-12T17:13:30

See below.

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 $W=vecF*vecd$ .

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