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Question

If A=2ˆi+3ˆj+4ˆk and B=4ˆi+3ˆj+2ˆk, find A×B.

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Solution

A=2ˆi+3ˆj+4ˆk,B=4ˆi+3ˆj+2ˆk

A×B =∣ ∣ ∣ˆiˆjˆk234432∣ ∣ ∣

= ˆi(612)ˆj(416)+ˆk(612)

=-6ˆi+12ˆj6ˆk


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