A vector F _1is along the positive X-axis.

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A vector ${\overrightarrow F _1}$is along the positive $X-$axis. If its vector product with another vector ${\overrightarrow F _2}$ is zero then ${\overrightarrow F _2}$ could be

A

$4\hat j$

B

$ - (\hat i + \hat j)$

C

$(\hat j + \hat k)$

D

$( - 4\hat i)$

A vector ${\overrightarrow F _1}$is along the positive $X-$axis. If its vector product with another vector ${\overrightarrow F _2}$ is zero then ${\overrightarrow F _2}$ could be

Let $F_{1}=x \hat{i}$

As, $F_{1} \times F_{2}=0$ and only $\hat{i} \times \hat{i}=0$

$\therefore F_{2}=-4 i$