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If vec aa n d vec b represent two adjac...

If ` vec aa n d vec b` represent two adjacent sides ` vec A Ba n d vec B C` respectively of a parallelogram `A B C D ,` then show that its diagonals ` vec A Ca n d vec D B` are equal to ` vec a+ vec b` and ` vec a- vec b` respectively.

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Verified by Experts

Given,
`AB=a` and `BC=b`
so,
Thus,D is the diagonal
and we have `AC` as `a+b` and
`DB` as `a-b` by pythagorous rule
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RD SHARMA-ALGEBRA OF VECTORS-Solved Examples And Exercises
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