Question

If $\overrightarrow{P}\times \overrightarrow{Q}=\overrightarrow{R}$ one of the following statements which is NOT correct will be,

• A. $\overrightarrow{R}\perp \overrightarrow{P}$
• B. $\overrightarrow{R}\perp \overrightarrow{Q}$
• C. $\overrightarrow{R}\perp (\overrightarrow{P}+\overrightarrow{Q})$
• D. $\overrightarrow{R}\perp (\overrightarrow{P}\times \overrightarrow{Q})$

Answer 1

Answer: (D)

$\overrightarrow{R}$ is parallel to $\overrightarrow{P}\times \overrightarrow{R}$ which is perpendicular to $\overrightarrow{P},\overrightarrow{Q}$ as well as $\overrightarrow{P}+\overrightarrow{Q}$ .