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) .