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Vectors along the adjacent sides of para...

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

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The correct Answer is:
7
Vectors along to sides are `a=hati+2hatj+hatk and b=2hati+4hatj+hatk`
clearly the vector along the longer diagonal is
`a+b=3hati+6hatj+2hatk`
Hence, length of the longer diagonal is
`|a+b|=|3hati+6hatj+2hatk|=7`
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