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If the position vectors of the points A,...

If the position vectors of the points A, B, C, D given by `hat(i)+2hat(j)+3hat(k), 2hat(i)-hat(j)+2hat(k), 1/4(7hat(i)+15hat(j)+15hat(k))` and `1/3 [ 7 hat(i)+2hat(j)+(5+3a)hat(k)]` respectively are such that `|AC|=|BD|`, then `16(3a-1)^(2)=`

A

143

B

139

C

189

D

187

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D
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