Two displacement vectors have magnitudes of 30 m and 90 m re

Two displacement vectors have magnitudes of 3.0 m and 9.0 m, respectively. If these two vectors are added together, the magnitude of their sum

A. could be as small as 6.0 m or as large as 12m

B. could be as small as 0.0 m or as large as 12m.

C. insufficient information

D. is equal to 6.0 m

E. is equal to 12 m

Correct choice is:

A. could be as small as 6.0 m or as large as 12m

explanation:

Because: displacemt value can be obtained depending on the direction. So minimum vaue is:

d = (9 - 3) = 6 m

Maximum value is:

d = (9 + 3) = 12

Hence, (a)could be as small as 6.0 m or as large as 12m