A vector A points vertically upward and B points towards north. T… - Vidyadip

MCQ

A vector $\vec{A}$ points vertically upward and $\vec{B}$ points towards north. The vector product $\vec{A} \times \vec{B}$ is

A
Zero
✓
Along west
C
Along east
D
Vertically downward

✓

Answer

Correct option: B.

Along west

(b) Direction of vector $A$ is along $z$-axis $\therefore \vec{A}=a \hat{k}$ Direction of vector $B$ is towards north $\therefore\vec{B}=\hat{b j}$Now $\vec{A} \times \vec{B}=a \hat{k} \times \hat{b j}=a b(-\hat{j})$$\therefore$ The direction is $\vec{A} \times \vec{B}$ is along west.

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