1. What is the difference between a position vector and a displacement vector?

Position vectors start on the coordinate number plane at the point (0, 0). Displacement vectors can start from any position on the number plane.

2. What is the zero vector?

Both of the components of the zero vector are 0!

3. What is the magnitude of a vector and how is it shown?

The magnitude of a vector is its length. This is usually calculated using Pythagoras' theorem. The magnitude of vector is shown by |a|.

4. Does a vector have to have an arrow on it?

Yes, without an arrow on a vector it has no sense or direction and is simply a line segment. The arrow is essential.