If a-b-c- are non-coplanar vectors and - -b-c- - -c-a- -r- -a-b- then - -a- - -b- - -c- - -a- - -b- - -c- r- -a- r- -b- r- -c-

The correct option is D [ a⃗b⃗c⃗] ^ 3 [ ...

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Applications of Cross Product

If a⃗,b⃗,c⃗...

Question

If $\to a, \to b, \to c$ are non-coplanar vectors and $\to α = \to b \times \to c, \to β = \to c \times \to a, \to r = \to a \times \to b$ then $∣ ∣ ∣ ∣ ∣ \begin{matrix} \to α . \to a & \to α . \to b & \to α . \to c \to β . \to a & \to β . \to b & \to β . \to c \to r . \to a & \to r . \to b & \to r . \to c \end{matrix} ∣ ∣ ∣ ∣ ∣ =$

0

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{[\to α \to β \to γ]}^{2}

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[\to α \to β \to γ]

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{[\to a \to b \to c]}^{3}

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(\to a + \to b) . \to p + (\to b + \to c) . \to q + (\to c + \to a) . \to r

If $\to a, \to b$ and $\to c$ are three non-coplanar vectors, then $(\to a + \to b + \to c) \cdot [(\to a + \to b) \times (\to a + \to c)]$ equals

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