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Example 3 - Find distance between P(1, -3, 4), Q(-4, 1, 2) - Distance between two points - Defination

  1. Chapter 12 Class 11 Introduction to Three Dimensional Geometry
  2. Serial order wise
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Example 3 Find the distance between the points P(1, –3, 4) and Q (– 4, 1, 2). Given P (1, – 3, 4) and Q (– 4, 1, 2) Distance PQ = ﷐﷮﷐x2−x1﷯2+﷐y2−y1﷯2+﷐z2 −z1﷯2﷯ Here, x1 = 1, y1 = – 3, z1 = 4 x2 = – 4, y2 = 1, z2 = 2 PQ = ﷐﷮﷐−4−1)2+(1−(−3)﷯2+﷐2−4﷯2﷯ = ﷐﷮﷐−5)2+(1+3﷯2+﷐−2﷯2﷯ = ﷐﷮25+﷐4﷯2+4﷯ = ﷐﷮45﷯ = ﷐﷮3×3×5﷯ = 3 ﷐﷮5﷯ units

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