Q. The magnitudes of the two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are $a$ and $b$ respectively. The vector product of $\overrightarrow{a}$ and $\overrightarrow{b}$ cannot be
A) equal to zero
B) less than $ab$
C) equal to $ab$
D) greater than $ab$
Explanation
(d) $\left| \overrightarrow{a} \times \overrightarrow{b} \right| = ab\ \ sin\theta$
$sin\theta$ cannot be greater than 1.
$\therefore\left| \overrightarrow{a} \times \overrightarrow{b} \right|$ cannot be greater than $ab$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.