Question

What is the result of dividing a non-zero vector \[\vec V\] by its own magnitude ∣\[\vec V\]∣?

Options

• A unit vector in the direction of \[\vec V\]

• A scalar quantity equal to one

• The inverse of the vector

• A vector perpendicular to \[\vec V\]

Answer 1

A unit vector in the direction of \[\vec V\]

Explanation:

 

This operation scales the vector's magnitude to 1 while preserving its original direction, which is the definition of a unit vector.