Value of scalar triple product is zero if any 2 vectors are identical.

True

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False

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Solution

The correct option is A True
If we have 3 vectors, $\to a, \to b, \to c$ , then their scalar triple product is given by $[\to a, \to b, \to c]$ = $(\to a \times \to b) . \to c$
If $\to a = \to b$
then $(\to a \times \to b) . \to c$ = $(\to a \times \to a) . {\to c}^{^{'}}$
now $(\to a \times \to a) = \to 0$ (cross product of 2 identical vectors is zero as angle between them is zero)
So $[\to a, \to b, \to c] = 0$

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