Question

Given that $\overrightarrow{P} + \overrightarrow{Q }= \overrightarrow{P}-\overrightarrow{Q}$. This can be true when

• A. $\overrightarrow{P} = \overrightarrow{0 }$
• B. $\overrightarrow{Q} = \overrightarrow{0 }$
• C. Neither $\overrightarrow{P}$ nor $\overrightarrow{Q}$is a null vector
• D. $\overrightarrow{P}$ is perpendicular to $\overrightarrow{Q}$

Answer 1

Answer: (B)

If $\overrightarrow{P} + \overrightarrow{Q} = \overrightarrow{P} - \overrightarrow{Q}$ . Then $\overrightarrow{Q} = - \overrightarrow{Q}$ .
Which is possible when $\overrightarrow{Q} = \overrightarrow{0}$ (i.e., null vector) .