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Find a vector vec(b) such that vec(a) xx...

Find a vector `vec(b)` such that `vec(a) xx vec(b) = vec(c)` and `vec(a).vec(b) = 3`, where `vec(a) = hat(i) + hat(j) + hat(k), vec(c) = hat(j) - hat(k)`.

Text Solution

Verified by Experts

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