If a- - - -k- - b- -2- -q- -k- - c- - - -4k- and a - b - c -1- then find the value of q-

Given #160; a⃗=î+ĵ+k̂ b⃗=2î+qĵ+k̂ c⃗=î ĵ+4k̂ a⃗·(b⃗×c⃗)=1 [a⃗b⃗c⃗]=1 1 amp;1 amp;1 2 amp;q amp;1 1 amp; 1 amp ...

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Definition of Vector

If a⃗ =î +ĵ...

Question

If $\to a =^i +^j +^k, \to b = 2^i + q^j +^k, \to c =^i -^j + 4^k$ and $¯ ¯ ¯ a . (¯ ¯ b \times ¯ ¯ c) = 1$ , then find the value of $q$ .

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\to a = 2^i +^j - 3^k, \to b =^i - 2^j +^k

\to c = -^i +^j - 4^k

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

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

\to a =^i - 2^j - 3^k, \to b = 2^i +^j -^k

\to c =^i + 3^j - 2^k

\to a \times (\to b \times \to c) = p^i + q^j + r^k

p + q + r =

\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 = 2^i + 3^j - 4^k, \to b =^i +^j +^k

\to c = 4^i + 3^k

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

\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)

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