Problem

Can the magnitude of a vector ever (a) equal, or (b) be less than, one of its components?

Problem 8Q

Step-by-step solution

Step 1 of 2</p>

(a) The magnitude of a vector can be equal to one of its components only if all the other components of the vectors are 0. In this case, the vector must be parallel to one of the coordinate axes.

Mathematically, A = Ax where A = (Ax2 + Ay2)½ is possible when Ay = 0.