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Question

Find |a×b|, if a=^i7^j+7^k and b=3^i2^j+2^k

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Solution

It is given that a=^i7^j+7^k and b=3^i2^j+2^k
a×b=∣ ∣ ∣^i^j^k177322∣ ∣ ∣=(14+14)^i(221)^j+(2+21)^k
=0^i+19^j+19^k|a×b|=02+(19)2+(19)2=2×(19)2=192


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