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Given vec a = 4 hat i - hat j + 3 hat k ...

Given `vec a = 4 hat i - hat j + 3 hat k` and `vec b = -2 hat i + hat j - 2 hat k`.
(i) Find a unit vector perpendicular to both `vec a` and `vec b`.
(ii) Find a vector of magnitude 9 which is perpendicular to both `vec a` and `vec b`.

Text Solution

Verified by Experts

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