A vector overrightarrow{F}_1 is along the pos | vedclass

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(D) The vector $\overrightarrow{F}_1$ is along the positive $X$-axis,so it can be represented as $\overrightarrow{F}_1 = a\hat{i}$,where $a > 0$.The v

Vedclass · Accepted Answer

$-4\hat{i}$

Vedclass · Answer

(D) The vector $\overrightarrow{F}_1$ is along the positive $X$-axis,so it can be represented as $\overrightarrow{F}_1 = a\hat{i}$,where $a > 0$.The vector product of two vectors is zero if and only if the vectors are collinear (parallel or anti-parallel).Since $\overrightarrow{F}_1 	imes \overrightarrow{F}_2 = 0$,the vector $\overrightarrow{F}_2$ must be parallel or anti-parallel to the $X$-axis.Therefore,$\overrightarrow{F}_2$ must be of the form $k\hat{i}$,where $k$ is any non-zero scalar.Comparing this with the given options,$-4\hat{i}$ is the only vector that is parallel to the $X$-axis.Thus,the correct option is $D$.

Column $I$	Column $II$
$(A) (A+B)$	$(p)$ North-east
$(B) (A-B)$	$(q)$ Vertically upwards
$(C) (A \times B)$	$(r)$ Vertically downwards
$(D) (A \times B) \times (A \times B)$	$(s)$ None

$A$ 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:

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