Q 2280634517.     A parallelogram is constructed on `3 vec(a) + vec(b)` and `vec(a) -4 vec(b)`

where `|vec(a) | = 6` and `| vec(b) | = 8` and `vec(a)` and `vec(b)` are anti-parallel,

then the length of the longer diagonal is

A

`40`

B

`64`

C

`32`

D

`48`

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