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Let `vec a= hat i+alpha hat j+beta hat k,alpha,beta in R` .Let a vector `vec b` be such that the angle between `vec a` and `vec b` is `(pi)/(4)` and `|vec b|^(2)=6`.If `vec a*vec b=3sqrt(2)` ,then the value of `(alpha^(2)+beta^(2))|vec a timesvec b|^(2)` is equal to

A

95

B

85

C

90

D

75

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