Let -a-1- -b-2 and -c-3 and a-b-c- be threee non-coplanar vectors- If -d- -4- then -d-b-c- a- d-c-a- b- - -d-a-b- c-a-b-c- is equal to

The correct option is C 2 [ a⃗ +b⃗ b⃗ +c⃗ #160; ] #160; ⇒{( a+b ) ×b⃗×c⃗ #160; }·c⃗ +a⃗ #160; ⇒{a⃗×b⃗ +a⃗×c⃗ +b⃗×b⃗ +b⃗×c⃗ #160 ...

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Sufficient Condition for an Extrema

Let |a⃗|=1,...

Question

Let $∣ \to a ∣= 1, ∣ \to b ∣= 2$ and $∣ \to c ∣= 3$ and $\to a, \to b, \to c$ be threee non-coplanar vectors. If $∣ \to d ∣= 4$ , then $∣ \frac{[\to d \to b \to c] \to a + [\to d \to c \to a] \to b + [\to d \to a \to b] \to c}{[\to a \to b \to c]} ∣$ is equal to

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\to a, \to b, \to c, \to d

(\to a \times \to b) \times (\to c \times \to d) + (\to a \times \to c) \times (\to d \times \to b) + (\to a \times \to d) \times (\to b \times \to c)

\to b, \to c, \to d

(\to a \times \to b) \times (\to c \times \to d) + (\to a \times \to c) \times (\to d \times \to b) + (\to a \times \to d) \times (\to b \times \to c)

\to b, \to c, \to d

(\to a \times \to b) \times (\to c \times \to d) + (\to a \times \to c) \times (\to d \times \to b) + (\to a \times \to d) \times (\to b \times \to c)

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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