Question

If you and your friend are moving at the same speed and in the same direction, you have no motion relative to each other? True or False?

Answer 1

Very true. A good example of this would be driving in a car or something like that. If you and your friend are sitting besides each other in a moving car, you both move with the car and have the same velocity and direction as the car and as each other. Yet when you look at each other within the car, your friend looks like they aren't moving. Thats because their motion relative to yours is 0.
Mathematically, the equation for relative motion of two objects A and B would be:
Vba = Vb - Va where Vba is the relative velocity of B with respect to A
and it in fact checks out when A and B have equal velocities, that the relative velocity is 0

Answer 2

Yes. If two of you are travelling at the same speed at the same direction, then relatively you guys are not in motion relative to each other.

A best example? You two sitting together in the back seat of a moving car.