Let the vectors u_1 = i + j +a k , u_2 = i +b j + k and u_3 =c i + j + k be coplanar. If the vectors v_1...

Question

Let the vectors u_1 = i + j +a k , u_2 = i +b j + k and u_3 =c i + j + k be coplanar. If the vectors v_1 =(a+b) i +c j +c k , v_2 =a i +(b+c) j +a k and v_3 =b i +b j +(c+a) k are also coplanar, then 6(a+b+c) is equal to

Accepted Answer

(C)

JEE Main 2023 Mathematics question

Solution