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Two sides of a parallelogram are 3hat(i)...

Two sides of a parallelogram are `3hat(i) + 4hat(j) - 5hat(k)` and `-2hat(j) + 7hat(k)`. Find the unit vectors parallel to the diagonals.

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The correct Answer is:
`(1)/(sqrt(17))(3i + 2j + 2k)` and `(1)/(sqrt(21)) (-i - 2j + 4k)`
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