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If the position vectors of two points on a line, and , are given then the direction ratios of the line are given by x2-x1, y2-y1, z2-z1.

Given that the position vectors of points A, B, C and D respectively are and . Then the direction ratios of line are 1, 4, -1 and the direction ratios of line are -2, -8, 2.

If the direction ratios of two lines are given, a1, a2, a3 and b1, b2, b3, then the angle between the lines, θ, is given by:      = -1

hence θ= 180°. and are collinear.

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