If a-2-3k-b-2-k- c-4k- and d-k- then -a-b-c-d-

The correct option is A 5√(114) (a⃗×b⃗)×(c⃗×d⃗)=(a⃗×b⃗.d⃗)c⃗ (a⃗×b⃗.c⃗)d⃗ a⃗×b⃗=î amp;ĵ #160; amp;k̂ 2 #160; amp;1 #160; am ...

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Cross Product of Two Vectors

If a⃗=2î+ĵ-...

Question

If $\to a = 2^i +^j - 3^k, \to b =^i - 2^j +^k$ , $\to c = -^i +^j - 4^k$ and $\to d =^i +^j +^k$ , then $| (\to a \times \to b) \times (\to c \times \to d) |$

5 \sqrt{114}

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5 \sqrt{162}

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78 \sqrt{3}

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5 \sqrt{121}

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\to a =^i +^j +^k, \to b =^i +^j -^k

\to c =^i -^j +^k

\to d =^i -^j -^k

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

\to a =^i +^j +^k

\to b =^i +^j -^k

\to c =^i -^j +^k

\to d =^i -^j -^k

| (\to a \times \to b) . (\to c \times \to d) | =

\to a =^i +^j +^k

\to b =^i -^j +^k

\to c =^i +^j -^k

\to a =^i -^j -^k

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

\to a = 2^i + 3^j +^k

\to b =^i -^j +^k

\to c =^i +^j +^k

\to d

\to a \times \to b = \to d \times \to b, \to d \cdot \to c = 8

\to d . \to b

\to a, \to b, \to c

\to a =^i + 2^j + 3^k

\to c =^i +^j +^k

\to d = 2^i -^j - 3^k

\to a, \to b

\to c

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