Let the vectors vec u1 =hati+hatj+a hatk...

Let the vectors `vec u_1 =hati+hatj+a hatk , vec u_2=hati+b hatj+hatk and vec u_3= c hati+hatj+hatk` be coplanar. If the vector `vec v_1=(a+b) hati+c hatj+c hatk, vec v_2=ahati+(b+c)hatj+a hatk and vec v_3=b hati+b hatj +(c+a)hatk` are also coplanar , then `6(a+b+c)` is equal to

A

12

B

6

C

0

D

4

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