First slide

Vectors

Question

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

Easy

A

A
B

$\vec{A}$
C

Zero vector
D

Zero

Solution

$\vec{A} \times \vec{B} = ABsinθ \hat{n}$
for parallel vectors $θ = 0^{0} or 180^{0}, sinθ = 0$
$∴ \vec{A} \times \vec{B} = \hat{0}$

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