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Statement 1: If | vec a+ vec b|=| vec a-...

Statement 1: If `| vec a+ vec b|=| vec a- vec b|,t h e n vec aa n d vec b` are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle.

A

Statement-II and statement II ar correct and Statement III is the correct explanation of statement I

B

Both statement I and statement II are correct but statement II is not the correct explanation of statement I

C

Statement I is correct but statement II is incorrect

D

Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
A
a+b=a-b are diagonals of a parallelogram whose sides are a and b.
`|a+b|=|a-b|`
Thus, diagonals of the parallelogram have the same length. So, the parallelogram is rectangle, i.e., `a bot b`.
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