Unit vectors →a,→b,→c are coplanar. A unit vector →d is perpen – InterviewSolution

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1.	Unit vectors →a,→b,→c are coplanar. A unit vector →d is perpendicular to them. If (→a×→b)×(→c×→d)=16^i−13^j+13^k and the angle between →a and →b is 30∘ then →c is equal to
Answer» Unit vectors $\to a, \to b, \to c$ are coplanar. A unit vector $\to d$ is perpendicular to them. If $(\to a \times \to b) \times (\to c \times \to d) = \frac{1}{6}^i - \frac{1}{3}^j + \frac{1}{3}^k$ and the angle between $\to a$ and $\to b$ is $30^{\circ}$ then $\to c$ is equal to

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