Let veca=hati+4hatj+2hatk,vecb=3hati-2ha...

Let `veca=hati+4hatj+2hatk,vecb=3hati-2hatj+7hatk` and `vecc =2hati-hatj+4hatk`. If a vector `vecd` satisfies `vecd times vecb=vecc times vecb` and `vecd*veca =24` , then `|vecd|^2` is equal to

A

`413`

B

`323`

C

`313`

D

`423`

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