If a, b, c are non-coplanar unit vectors such that \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})=\frac{\mathbf{b}+\mathbf{c}}{\sqrt{2}}\], then the angle between a and b is [IIT 1995]

If a, b, c are non-coplanar unit vectors such that \[\mathbf{a}\times

1.	If a, b, c are non-coplanar unit vectors such that \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})=\frac{\mathbf{b}+\mathbf{c}}{\sqrt{2}}\], then the angle between a and b is [IIT 1995]
A.	\[\frac{\pi }{4}\]
B.	\[\frac{\pi }{2}\]
C.	\[\frac{3\pi }{4}\]
D.	\[\pi \]
Answer» D. \[\pi \]

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If a, b, c are non-coplanar unit vectors such that \[\mathbf{a}\times (\mathbf{b}\times \mathbf{c})=\frac{\mathbf{b}+\mathbf{c}}{\sqrt{2}}\], then the angle between a and b is [IIT 1995]

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