Q. If $\overrightarrow{P} = 2\widehat{i} - 3\widehat{j} + \widehat{k}$ and $\overrightarrow{Q} = 3\widehat{i} - 2\widehat{j},$ then $\overrightarrow{P} \bullet \overrightarrow{Q}$ is

A) Zero
B) 6
C) 12
D) 15
Explanation

(a) $\left( 2\widehat{i} - 3\widehat{j} + \widehat{k} \right).\left( 3\widehat{i} + 3\widehat{j} \right) = 6\left( \widehat{i}.\widehat{i} \right) - 6\left( \widehat{j}.\widehat{j} \right) = 0$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.