First slide

Scalars and 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

Moderate

A

A
B

$\vec{A}$
C

Zero vector
D

Zero

Solution

$\begin{array}{l} \vec{A} \times \vec{B} = A B \sin θ \hat{n} \\ For parallel vectors θ = 0^{\circ} or 180^{\circ}, \sin θ = 0 \\ ∴ \vec{A} \times \vec{B} = \vec{0} \end{array}$

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