If overrightarrow{ P }=3 hat{ i }+sqrt{3} hat | vedclass

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Question

$\begin{array}{l}\overrightarrow{ P } 	imes \overrightarrow{ Q }=\left|\begin{array}{ccc}\hat{ i } & \hat{ j } & \hat{ k } \ 3 & \sqrt{3

Vedclass · Accepted Answer

$4$

Vedclass · Answer

$\begin{array}{l}\overrightarrow{ P } 	imes \overrightarrow{ Q }=\left|\begin{array}{ccc}\hat{ i } & \hat{ j } & \hat{ k } \ 3 & \sqrt{3} & 2 \ 4 & \sqrt{3} & 2.5\end{array}ight|=\sqrt{3} \frac{\hat{ i }}{2}+\frac{\hat{ j }}{2}-\sqrt{3} \hat{ k } \ \Rightarrow \frac{\overrightarrow{ P } 	imes \overrightarrow{ Q }}{|\overrightarrow{ P } 	imes \overrightarrow{ Q }|}=\frac{1}{2}\left(\sqrt{3} \frac{\hat{ i }}{2}+\frac{\hat{ j }}{2}-\sqrt{3} \hat{ k }ight) \ =\frac{1}{4}(\sqrt{3} \hat{ i }+\hat{ j }-2 \sqrt{3} \hat{ k }) \quad x =4\end{array}$

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