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If vec(c ) is a unit vector perpendicula...

If `vec(c )` is a unit vector perpendicular to both `vec(a) = vec(i) + 5vec(j) + vec(k) and vec(b)= 2vec(i) - vec(j) + vec(k)` such that `vec(a), vec(b), vec(c )` form right handed system then find `vec(c )`.

Text Solution

Verified by Experts

The correct Answer is:
`(6vec(i) + vec(j) -11vec(k))/(sqrt158)`
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