The magnitudes of two horizontal displacements are 4 m and 9 m, respectively. Given that the vectors may be in either the plus or the minus direction, they cannot be added together to give a total displacement of
A) -13 m.
B) -5 m.
C) 5 m.
D) 13 m.
E) 4 m.

Question

Quizplus · Accepted Answer

The maximum displacement is 13 m (4 m + 9 m) and the minimum is -13 m (-4 m - 9 m). A displacement of 4 m cannot be achieved with these vectors in any combination of directions.

The Magnitudes of Two Horizontal Displacements Are 4 M and 9