A) \[\frac{2}{\sqrt{7}}\]
B) \[\sqrt{\frac{2}{7}}\]
C) \[\frac{4}{\sqrt{7}}\]
D) \[\frac{3}{\sqrt{7}}\]
Correct Answer: A
Solution :
\[\cos \theta =\frac{\overrightarrow{A}\,.\,\overrightarrow{B}}{|\overrightarrow{A}|\,|\overrightarrow{B}|}=\frac{6-2+8}{\sqrt{14}\times \sqrt{24}}\] \[\cos \theta =\frac{12}{\sqrt{14}\times \sqrt{24}}=\sqrt{\frac{3}{7}}\], \[\therefore \,\,\,\sin \theta =\frac{2}{\sqrt{7}}\].You need to login to perform this action.
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