Question

Prove that 3 points with position vectors a vector, b vector, c vector are collinear if and only if non zero scalars x,y,z. Such that x.a vector + y.b vector + z.c vector = 0, where x + y + z = 0 .
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Answer 1

Answer:

If a, b, c are position vectors of three-collinear points such that xa+yb+zc=0 and atleast one scalar x,y,z, =0, then. A. x+y+z=0. B. x+y+z =0. C. there exists no ..