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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.16

Shortest distance from a point to a line Problem set B Answers

Skills

    1. (a) \(B\left(2, 4, 0\right)\)
    2. (b) \(3 \sqrt{5} = 6.71\)

  2. \(\frac{\sqrt{385}}{5} = 3.92\)

  3. \(6 \sqrt{2} = 8.49\)

  4. \(\frac{\sqrt{70}}{5} = 1.67\)

In context

  1. \(\frac{2 \sqrt{35}}{5} = 2.37\)

    1. (a) \(\lambda = \frac{1}{5}\)
    2. (b) \(\frac{3 \sqrt{105}}{5} = 6.15\)

Stretch

  1. \(\sqrt{2} = 1.41\)

jmaths.xyz · AI HL · AHL 4.16 Shortest distance from a point to a line