If →a,→b,→c are three non coplanar vectors and a vector →α is – InterviewSolution

InterviewSolution

1.	If →a,→b,→c are three non coplanar vectors and a vector →α is such that →α=p(→b×→c)+q(→c×→a)+r(→a×→b) and →α⋅(→a+→b+→c)=1 , then [→a →b →c] is equal to
Answer» If $\to a, \to b, \to c$ are three non coplanar vectors and a vector $\to α$ is such that $\to α = p (\to b \times \to c) + q (\to c \times \to a) + r (\to a \times \to b) and \to α \cdot (\to a + \to b + \to c) = 1$ $, then [\to a \to b \to c]$ is equal to

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