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Write a unit vector in the direction of ...

Write a unit vector in the direction of the sum of the vectors `vec(a) = 2hat(i) + 2hat(j) - 5hat(k)` and `vec(b) = 2hat(i) + hat(j) - 7hat(k)`.

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Verified by Experts

The correct Answer is:
`(4)/(13)hat(i) + (3)/(13)hat(j) - (12)/(13)hat(k)`
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