Question

If a, b, c are the position vectors of three collinear points, then the existence of x, y, z is such that

• A. $x\mathbf{a} + y\mathbf{b} + z\mathbf{c} = 0,x + y + z \neq 0$
• B. $x\mathbf{a} + y\mathbf{b} + z\mathbf{c} \neq 0,x + y + z = 0$
• C. $x\mathbf{a} + y\mathbf{b} + z\mathbf{c} \neq 0,x + y + z \neq 0$
• D. $x\mathbf{a} + y\mathbf{b} + z\mathbf{c} = 0,x + y + z = 0$

Answer 1

Answer: (D)

$x\mathbf{a} + y\mathbf{b} + z\mathbf{c} = 0,x + y + z = 0$

Answer 2

It is a fundamental concept.