Find a-b- if a- - -2- -3k- and b- -3- -2- -k-

a×b=(î+2ĵ+3k̂)×(3î+2ĵ+k̂) =î amp; ĵ amp; k̂ 1 amp; 2 amp; 3 3 amp; 2 amp; 1 =î(2× 1 3× 2) ĵ(1× 1 3× 3)+k̂(2× 1 3× 2) ...

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Equal Vectors

Find a⃗×b⃗ ...

Question

Find $\to a \times \to b$ if $\to a =^i + 2^j + 3^k$ and $\to b = 3^i + 2^j +^k$

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Solution

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\to a

\to b

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

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

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

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

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

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

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

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

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

(\to a + 3 \to b) . (2 \to a - \to b)

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

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

\to a + \to b + \to c = 4^i - 4^j

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

\to a + 2 \to b - 3 \to c

\sqrt{78}

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

\to c = - 1^i + 2^j + 2^k

\to a + \to b + \to c =

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