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Question

Question: \(\mathbf{a} \times (\mathbf{b} \times \mathbf{c})\) is equal to...

a×(b×c)\mathbf{a} \times (\mathbf{b} \times \mathbf{c}) is equal to

A

(a.c)b−(a.a)b(\mathbf{a}.\mathbf{c})\mathbf{b} - (\mathbf{a}.\mathbf{a})\mathbf{b}

B

(a.c)a−(b.c)a(\mathbf{a}.\mathbf{c})\mathbf{a} - (\mathbf{b}.\mathbf{c})\mathbf{a}

C

(a.c)b−(a.b)c(\mathbf{a}.\mathbf{c})\mathbf{b} - (\mathbf{a}.\mathbf{b})\mathbf{c}

D

(a.b)c−(a.c)b(\mathbf{a}.\mathbf{b})\mathbf{c} - (\mathbf{a}.\mathbf{c})\mathbf{b}

Answer

(a.c)b−(a.b)c(\mathbf{a}.\mathbf{c})\mathbf{b} - (\mathbf{a}.\mathbf{b})\mathbf{c}

Explanation

Solution

It is a fundamental concept.