Vector Algebra Question 285

Question: If a, b, c are non-collinear vectors such that for some scalars x, y, z, $ x\mathbf{a}+y\mathbf{b}+z\mathbf{c}=\mathbf{0}, $ then

[RPET 2002]

Options:

A) $ x=0,y=0,z=0 $

B) $ x\ne 0,y\ne 0,z=0 $

C) $ x=0,y\ne 0,z\ne 0 $

D) $ x\ne 0,y\ne 0,z\ne 0 $

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Answer:

Correct Answer: A

Solution:

  • It is obvious.