If -A-B- - O then find the value of a if A - 2- - 3- - 4k- and B - 4- - a- - k- and

Since , |A⃗×B⃗|=0 A⃗∥B⃗ Hence 24=3a=41 No value of a can make them parallel. They are not parallel. ...

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Applications of Dot Product

If |A×B| = ...

Question

If $| \to A \times \to B | = O$ then find the value of a if $\to A = 2^i + 3^j + 4^k$ and $\to B = 4^i + a^j +^k$ and

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

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

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

\to A \times \to B

\to A = 2^i + 4^k and \to B = - 3^j

\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 = 2^i + 3^j -^k and \to B = -^i + 3^j + 4^k

\to A on \to B

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

\to B = -^i + 3^j + 4^k

\to A

\to B

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