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Points with position vectors a, b, c are collinear iff xa + yb + zc = 0 for nonzero scalars with?

Ax = y = z
Bx + y = z
Cxyz = 1
Dx + y + z = 0
Answer & Solution
Correct answer: D. x + y + z = 0
Collinearity of three points requires the nonzero scalars in the dependence relation to sum to zero.
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