This is called the projection of v onto u.

This is incredibly useful, can anybody list some examples of when we might want to compute this?

Force calculations in physics, e.g. getting the normal component so that you can calculate the friction.

This is called the projection of v onto u.

This is incredibly useful, can anybody list some examples of when we might want to compute this?

Force calculations in physics, e.g. getting the normal component so that you can calculate the friction.