You would need to know another vector (not parallel to that one) to which the plane is parallel in order to get a unique plane.
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Two points are always collinear because the line connecting both of them is always present.
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Which answer below is ; Find an equation for the line parallel to y = - 4x + 2 and passes through the point (6, -6).
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(i) It will pass through B (3, 4, 2) and C (7, 0 , 6), if a (3 - 2) + b (4 - 2) + c (2 + 1) = 0 a + 2b + 3c = 0.