Two athletes run in different directions at 10 mph. One heads east and one heads south. Are their velocities the same?

Velocity is the speed of an object in a given direction.

Because the two runners are going in different directions the velocities are not the same.

Yes

Explanation:

Velocity is simply your displacement divided by your time.

Now if we break down displacement, it means how far you are from your starting position, even if their in opposite  directions, the displacement is still 10 miles from the starting point after one hour.

magnityde and direction

a small object of mass 3.66 g and charge -17.6 µc is suspended motionless above the ground when immersed in a uniform electric field perpendicular to the ground. what are the magnitude and direction of the electric field?