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If vecA=2veci-3vecj+7veck, vecB=veci+2ve...

If `vecA=2veci-3vecj+7veck, vecB=veci+2veck and vecC=vecj-veck` find `vecA.(vecBxxvecC)`.

Text Solution

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`vecBxxvecC=(veci+2veck)xx(vecj-veck)`
`=vecixx(vecj-veck)+2vecxx(vecj-veck)`
`=vecixxvecjxxveck+2veckxxvwvecj-2veckxxveck`
`=veck+vecj-2veci-0=-2veci+vecj+veck`.
vecA.(vecBxxvecC)=(2veci-3vecj+7veck). (-2veci+vecj+veck)`
`=(2)(-2)+(-3)(1)=(7)(1)`
-0.
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