A vector of magnitude 3 CANNOT be added to a vector of magnitude 4 so that the magnitude of the resultant is:
A) zero
B) 1
C) 3
D) 5
E) 7

Question

Quizplus · Accepted Answer

The minimum magnitude of the resultant vector occurs when the two vectors are in opposite directions, which is the absolute difference of their magnitudes (4 - 3 = 1). The maximum magnitude occurs when they are in the same direction, which is the sum of their magnitudes (4 + 3 = 7). Therefore, a resultant magnitude of zero is not possible.

A Vector of Magnitude 3 CANNOT Be Added to a Vector