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Statement 1: | vec a|=3,| vec b|=4 a n d...

Statement 1: `| vec a|=3,| vec b|=4 a n d| vec a+ vec b|=5,t h e n| vec a- vec b|=5.` Statement 2: The length of the diagonals of a rectangle is the same.

A

(a) Statement-I and statement II are correct and Statement II is the correct explanation of statement I

B

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

C

(c) Statement I is correct but statement II is incorrect

D

(d) Statement II is correct but statement I is incorrect

Text Solution

Verified by Experts

The correct Answer is:
A
We have, adjacent sides of triangle `|a|=3,|b|=4`
the length of the diagonal is `|a+b|=5`
Since, it satisfies the Pythagoras theorem, `a bot b`
So, the parallelogram is a rectangle.
Hence, the length of the other diagonal is `|a-b|=5`.
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