$\begin{array}{1 1}(A)\;45^{\circ} \\(B)\;60^{\circ} \\(C)\;0^{\circ}\\(D)\;90^{\circ} \end{array} $

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$\cos \theta = \large\frac{\overrightarrow{A}.\overrightarrow{B}}{|\overrightarrow{A}||\overrightarrow{B}|}$

$\qquad= \large\frac{(5\hat{i}+7 \hat j -3 \hat k ).(2 \hat i +2 \hat j + 8 \hat k)}{|5 \hat i +7 \hat j -3 \hat k ||2 \hat i + 2 \hat j -8 \hat k |}$

$\qquad= \large\frac{(10+14-24)}{(\sqrt {83})( \sqrt {72})}$$=0$

Hence C is the correct answer.

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