Question

If a vector $\overrightarrow{A}$ is parallel to another vector $\overrightarrow{B}$ then the resultant of the vector $\overrightarrow{A} \times \overrightarrow{B}$ will be equal to

• A. A
• B. $\overrightarrow{A}$
• C. Zero vectord
• D. Zero

Answer 1

Answer: (C)

Zero vectord

Answer 2

$\overset{\rightarrow}{A} \times \overset{\rightarrow}{B} = AB\sin\theta\widehat{n}$

For parallel vectors $\theta = 0{^\circ}$ or $180{^\circ}$, $\sin\theta = 0$

$\therefore$ $\overset{\rightarrow}{A} \times \overset{\rightarrow}{B} = \widehat{0}$