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Find a unit vector perpendicular to eac...

Find a unit vector perpendicular to each of the vector `vec a+ vec b` and `vec a - vec b`, where `vec a = 3 hat i + 2 hat j + 2 hat k` and `vec b = hati + 2 hat j - 2 hat k`.

Text Solution

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The correct Answer is:
`pm(2/3 hat i - 2/3 hat j - 1/3 hat k)`
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