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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

We have,
a=^i7^j+7^k and b=3^i2^j+2^k
a×b=∣ ∣ ∣^i^j^k177322∣ ∣ ∣
=^i(14+14)^j(221)+^k(2+21)=19^j+19^k
|a×b|=(19)2+(19)2=2×(19)2=192

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