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The position vectors of the point A, B , C and D are `3hat(i)-2hat(j)-hat(k), 2hat(i)+3hat(j)-4hat(k), -hat(i)+hat(j)+2hat(k) and 4hat(i)+5hat(j)+lambdahat(k)` respectively. If A, B, C, D are coplanar, then `lambda=`

A

`(-146)/(17)`

B

`(146)/(17)`

C

`(146)/(15)`

D

`(-146)/(15)`

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