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Manipal MET2011MathematicsVector Algebra

If a , b and c are non-collinear vectors such that for some scalars x , y , z , x a+yb+zc=0 , then

Options

  1. Ax=0, y=0, z=0
  2. Bx 0, y 0, z=0
  3. Cx=0, y 0, z 0
  4. Dx 0, y 0, z 0

Correct answer

A. x=0, y=0, z=0

Step-by-step solution

Since, x a +y b +z c =0 Also, a , b and c are non-collinear vectors, then x=y=z=0

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