Ncert Solutions for Class 11 Mathematics Chapter 12 Introduction to 3D Geometry Exercise Solutions 12.3

5 1. Find the coordinates of the point which divides the line segment joining the points
(– 2, 3, 5) and (1, – 4, 6) in the ratio (i) 2 : 3 internally, (ii) 2 : 3 externally.   2. Given that P (3, 2, – 4), Q (5, 4, – 6) and R (9, 8, –10) are collinear. Find the ratio in which Q divides PR.   3. Find the ratio in which the YZplane divides the line segment formed by joining the points (–2, 4, 7) and (3, –5, 8).   4. Using section formula, show that the points A (2, –3, 4), B (–1, 2, 1) and (0, 1/3 , 2) are collinear.
  5. Find the coordinates of the points which trisect the line segment joining the points
P (4, 2, – 6) and Q (10, –16, 6).
 
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