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Vectors along the adjacent sides of para...

Vectors along the adjacent sides of parallelogram are `veca = 2hati +4hatj -5hatk and vecb = hati + 2hatj +3hatk`. Find the length of the longer diagonal of the parallelogram.

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The correct Answer is:
7
Vector along the sides are `veca = 2hati +4hatj -5hatk and vecb = hati + 2hatj +3hatk`
Clearly the vector along the longer diagonal is
`veca + vecb = 3hati +6hatj -2hatk`
Hence, length of the longest diagonal is
`|veca + vecb| = | 3hati +6hatj-2hatk| =7`
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