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A parallelogram is construted on 3veca +...

A parallelogram is construted on `3veca + vecb and veca- 4vecb`, where `|veca|=6 and |vecb|=8 and veca and vecb` are anti-parallel . Then the length of the longer diagonal is

A

40

B

54

C

32

D

48

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The correct Answer is:
D
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A parallelogram is constructed on 3veca+vecb and veca-4vecb, where |veca|=6 and |vecb|=8 and veca and vecb are anti parallel then the length of the longer diagonal is (A) 40 (B) 64 (C) 32 (D) 48

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