જો vec{P}=3 tilde{i}+sqrt{3} hat{j}+2 hat{k} | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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

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

કોલમ $-I$	કોલમ $-II$
$(a)$ $\left\| {\vec A \, \times \,\,\vec B } \right\|\, = \,\,0$	$(i)$ $\theta = \,{30^o}$
$(b)$ $\left\| {\vec A \, \times \,\,\vec B } \right\|\, = \,\,8$	$(ii)$ $\theta = \,{45^o}$
$(c)$ $\left\| {\vec A \, \times \,\,\vec B } \right\|\, = \,\,4$	$(iii)$ $\theta = \,{90^o}$
$(d)$ $\left\| {\vec A \, \times \,\,\vec B } \right\|\, = \,\,4\sqrt 2$	$(iv)$ $\theta = \,{0^o}$

Similar Questions

$\vec A = 3\hat i + 4\hat j + 5\hat k$ અને $\vec B = 3\hat i + 4\hat j - 5\hat k$ સદીશો વચ્ચેનો ખૂણો ($^o$ માં) કેટલો હશે?

બે સદિશો $\overrightarrow {A} $ અને $\overrightarrow {B} $ અને તેમની વચ્ચેનો ખૂણો $\theta$, જો $|\vec A \times \vec B|=\sqrt 3(\vec A \cdot \vec B) $ હોય, તો $\theta$ નું મૂલ્ય કેટલું હશે?

$ (\overrightarrow A + \overrightarrow B )\, \times (\overrightarrow A - \overrightarrow B ) $ = ______

સમઘડી પદ્ધતિમાં સાચો સંબંધ કયો છે ?