If a-b-c- are non-coplanar unit vectors such that a-b-c-b-c-2- then the angle between a- and b- is

The correct option is D 3π4 #160;a×(#160;b×#160;c) =#160;b(#160;a.#160;c) #160;c#160;a.#160;b) =#160;b√(2)+#160;c√(2) Comparing coefficient ...

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Question

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

\frac{3 π}{4}

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\frac{π}{4}

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\frac{π}{2}

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π

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Solution

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\to a, \to b, \to c

| \to a + \to b + \to c | = 1, \to c = λ (\to a \times \to b)

| \to a | = \frac{1}{\sqrt{2}}, | \to b | = \frac{1}{\sqrt{3}}, | \to c | = \frac{1}{\sqrt{6}}

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(\to A + \to B + \to C)

[(\to A + \to B) \times (\to A + \to C)]

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