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Prove that the vectors A=2hati-3hatj+hat...

Prove that the vectors `A=2hati-3hatj+hatk and B=hati+hatj + hatk` are mutually perpendicular .

Text Solution

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`A.B=(2hati-3hatj+hatk).(hati+hatj+hatk)`
`=(2)(1)+(-3)(1)+(1)(1)`
`=0=ABcos theta`
`thereforecostheta=O (asAneO, bne O)`
or the vectors A and Bare mutually perpendicular.
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