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

As a⃗.(b⃗×c⃗)=[a⃗b⃗c⃗]=[ 2 amp; 1 amp;3; 1 amp;2 amp;1; 3 amp;1 amp; 2 ] So, a⃗.(b⃗×c⃗)=2(4 1) 1( 2 3)+3( 1 6)= 10. ...

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Finding Inverse Using Elementary Transformations

Find a · b × ...

Question

Find $\to a . (\to b \times \to c)$ , if $\to a = 2^i +^j + 3^k, \to b = -^i + 2^j +^k$ and $\to c = 3^i +^j + 2^k$ .

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

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

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

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

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

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

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

\to r = x \to a + y \to b + z \to c

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

[\to a \to b \to c] .

\to r = 3^i + 2^j - 5^k, \to a = 2^i -^j +^k, \to b =^i + 3^j - 2^k

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

\to r = l \to a + m \to b + n \to c

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