Statement 1: `| vec a|=3,| vec b|=a n d| vec a+ vec b|=5,t h e n| vec a- vec b|=5.`Statement 2: The length ofthe diagonals of a rectangle is the same.A. Statement-II and statement II ar correct and Statement III is the correct explanation of statement IB. Both statement I and statement II are correct but statement II is not the correct explanation of statement IC. Statement I is correct but statement II is incorrectD. Statement II is correct but statement I is incorrect

Statement 1: `| vec a|=3,| vec b|=a n d| vec a+ vec b|=5,t h e n| vec

1.	Statement 1: `\| vec a\|=3,\| vec b\|=a n d\| vec a+ vec b\|=5,t h e n\| vec a- vec b\|=5.`Statement 2: The length ofthe diagonals of a rectangle is the same.A. Statement-II and statement II ar correct and Statement III is the correct explanation of statement IB. Both statement I and statement II are correct but statement II is not the correct explanation of statement IC. Statement I is correct but statement II is incorrectD. Statement II is correct but statement I is incorrect
Answer» Correct Answer - 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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