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Let lambda in ZZ,veca=lambdahati+hatj-ha...

Let `lambda in ZZ,veca=lambdahati+hatj-hatk and vecb=3hati-hatj+2hatk. Let vecC` be a vector such that `(veca+vecb+vecc)times vecc=vec0,veca*vecc=-17 and vecb*vecc=-20.Then `|vecctimes(lambdahati+hatj+hatk)|^(2)` is equal to

A

`62`

B

`46`

C

`53`

D

`49`

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