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

• A. $x = 0 , y = 0 , z = 0$
• B. $x \neq 0 , y \neq 0 , z = 0$
• C. $x = 0 , y \neq 0 , z \neq 0$
• D. $x \neq 0 , y \neq 0 , z \neq 0$

Answer 1

Answer: (A)

$x = 0 , y = 0 , z = 0$

Answer 2

It is obvious.