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  • Find the coordinate of the points which trisect the line segment joining the points A (2, 1, – 3) and B (5, – 8, 3).

Find the coordinate of the points which trisect the line segment joining the points A (2, 1, – 3) and B (5, – 8, 3).

Answers (1)

Let the points P(x1,y1,z1) & Q(x2,y2,z2), trisect line segment AB & let P divide the line in the ratio of 1:2 & Q in the ratio of 2:1.

Thus, P(x1,y1,z1) = P(1(5) + 2(2)/1+2, 1(-8) + 2(1)/1+2, 1(3) + 2(-3)/1+2)

                              = P(3,-2,-1)

& Q(x2,y2,z2) = Q(2(5) + 1(2)/2+1, 2(-8) + 1(1)/2+1, 2(3) + 1(-3)/2+1)

                              = Q(4,-5,1)

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