If a , b , c satisfy a + 2 b + 3 c = 0 , then the scalar triple product [ a × b , b × c , c × a ] equals

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If $a, b, c$ satisfy $a + 2 b + 3 c = 0$ , then the scalar triple product $[a \times b, b \times c, c \times a]$ equals

Answer:

Solution:

The relation makes $a, b, c$ coplanar, so $[a b c] = 0$ ; hence the stated triple product is zero.

Stream:JEESubject:MathematicsTopic:VectorSubtopic:STP

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