Question

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

• A. null vector
• B. along west
• C. along east
• D. vertically downward

Answer 1

The correct option is B along west

Here z -axis is vertically upward means normal to plane of paper as shown in figure.

Thus, $\overrightarrow{A}=A\hat{k}$ and $\overrightarrow{B}=B\hat{j}$

So, $\overrightarrow{A}\times \overrightarrow{B}=A\hat{k}\times B\hat{j}=-AB\hat{i}$

Thus, it is along negative x-axis means along west.