How to find the vector with given magnitude and same direction of another vector

The video tutorial explains unit vectors, their properties, and how they relate to angles on a unit circle. It covers the process of converting a vector to a unit vector and calculating its magnitude. The tutorial concludes with finding a vector V with a specified magnitude and direction, ensuring it aligns with the unit vector's direction.

How do you multiply a unit vector by a scalar, and what effect does this have on the vector?

What is the significance of the magnitude of a vector in relation to its direction?