Let `veca=2hati+lambda_1hatj+3hatk,vecb=4hati+(3-lambda_2)hatj+6hatk` and `vec c =3hati+6hatj+(lambda_3-1)hatk` be three vectors such that `vecb=2veca` and `veca` is perpendicular to `vec c` then a possible value of `(lambda_1,lambda_2,lambda_3)` is : (a) `(1,3,1)` (b) `(-1/2,4,0)` (c) `(1,5,1)` (d) `(1/2,4,-2)`