If $\overrightarrow { \mathrm { A } }$ + $\overrightarrow { \mathrm { B } }$ = $\overrightarrow { \mathrm { C } }$ and their magnitudes are given by A + B = C, then the vectors $\overrightarrow { \mathrm { A } }$ and $\overrightarrow { \mathrm { B } }$ are oriented
A)perpendicular relative to one other.
B)parallel to each other (in the same direction).
C)antiparallel to each other (in opposite directions).
D)It is impossible to know from the given information.

Question

Quizplus · Accepted Answer

If the magnitudes of the vectors add up to the magnitude of their sum, the vectors must be parallel and in the same direction.

If A→\overrightarrow { \mathrm { A } }A B→\overrightarrow { \mathrm { B } }B

If $\overrightarrow { \mathrm { A } }$ $\overrightarrow { \mathrm { B } }$