If a vector A is parallel to another vector B then the resultant … - Vidyadip

MCQ

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

A
$A$
B
$\vec A$
✓
Zero vector
D
Zero

✓

Answer

Correct option: C.

Zero vector

c
(c) $\overrightarrow A \times \overrightarrow B = AB\sin \theta \,\hat n$

for parallel vectors $\theta = 0^\circ $ or $180^\circ $, $\sin \theta = 0$

$\therefore $ $\overrightarrow A \times \overrightarrow B = \hat 0$

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