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Question

Find a.(b×c),if a=2^i+^j+3^k,b=^i+2^j+^k and c=3^i+^j+2^k.

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Solution

a=2^i+^j+3^k, b=^i+2^j+^k, c=3^i+^j+2^k.

a.(b×c)=[a b c]=∣ ∣213121312∣ ∣

=2(41)1(23)+3(16)=6+521=10

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