If vec A = 2hat i + hat j - hat k,,vec B | vedclass

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Question

$\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{D}}$

$\overrightarrow{\mathrm{D}}=3 \hat{\mathrm{i}}+3 \hat{\mathr

Vedclass · Accepted Answer

$90$

Vedclass · Answer

$\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}=\overrightarrow{\mathrm{D}}$

$\overrightarrow{\mathrm{D}}=3 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+2 \hat{\mathrm{k}}$

$\overrightarrow{\mathrm{C}}=6 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-6 \hat{\mathrm{k}}$

$\overrightarrow{\mathrm{D}} \cdot \overrightarrow{\mathrm{C}}=18-6-12=0$

$	heta=90^{\circ}$

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

If $\vec A = 2\hat i + \hat j - \hat k,\,\vec B = \hat i + 2\hat j + 3\hat k$ and $\vec C = 6\hat i - 2j - 6\hat k$ then the angle between $(\vec A + \vec B)$ and $\vec C$ wil be ....... $^o$

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