Answer
A vector can have a component equal to zero and still have non zero length.
Work Step by Step
To make this idea more concrete, think about vectors drawn along the x axis. For vectors drawn along the x axis, the y component is 0. However the magnitude of the vector does not have to be 0. Take for instance the vector that extends from the origin to the point (6,0). It has a component equal to zero but has a magnitude of 6.
