A) \[\frac{\pi }{4}\]
B) \[\frac{\pi }{8}\]
C) \[\frac{\pi }{2}\]
D) \[\frac{3\pi }{4}\]
Correct Answer: D
Solution :
\[(\hat{a}.\hat{c})\,\hat{b}-(\hat{a}.\hat{b})\hat{c}=\frac{1}{\sqrt{2}}\,\hat{b}+\frac{1}{\sqrt{2}}\hat{c}\] \[\therefore \,\hat{a}.\hat{c}=\frac{1}{\sqrt{2}}\,\] and \[\hat{a}.\hat{b}\,=\frac{-1}{\sqrt{2}}\,\Rightarrow \,\hat{a}\wedge \hat{c}=\frac{\pi }{4}\,;\,\,\hat{a}\wedge \hat{b}=\frac{3\pi }{4}\]
You need to login to perform this action.
You will be redirected in
3 sec
