Question
Mathematics Question on Addition of Vectors
Let the vectors ū₁ = i^ + j^ + ak^, ū₂ = i^ + bj^ + k^ and ū₃ = ci^ + j^ + k^ be coplanar. If the vectors vectors v₁ = (a+b)i^+cj^+ck^, v₂ = ai^ + (b + c)j^ + ak^ and v=bi^+bj^+(c+a)k^ are also coplanar, then 6 (a + b + c) is equal to
A
0
B
4
C
6
D
12
Answer
12
Explanation
Solution
The correct option is(D): 12