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The two adjacent sides of a parallelogram are 2i-4j+5k and i- 2j - 3k. Find the unit vector

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The two adjacent sides of a parallelogram are 2i-4j+5k and i- 2j - 3k. Find the unit vector parallel to one of its diagonals. Also, find its area.

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Let two adjacent sides of a parallelogram be

Area of given parallelogram

Required unit vector parallel to one diagonal is

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