NEST2017MathematicsVector Algebra
Let i , j , k be three mutually orthogonal unit vectors and let x, y, z be three distinct real numbers. If the vectors u =x i +y j +z k , v =y i +z j +x k and w =z i +x j +y k are coplanar then
Options
- Au + v + w = 0 , where 0 is the null vector.
- Bi + j + k is normal to the plane containing u , v and w .
- Cthe angle between any two of the vectors v , v and w is 120^ .
- Du v = v w = w u .
Correct answer
D. u v = v w = w u .
Step-by-step solution
No solution available.
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