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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 A Answers

Skills

    1. (a) \(B\left(6, 1, 0\right)\)
    2. (b) \(4 \sqrt{3} = 6.93\)

  2. \(\frac{\sqrt{830}}{5} = 5.76\)

  3. \(\sqrt{30} = 5.48\)

  4. \(\frac{\sqrt{1070}}{5} = 6.54\)

In context

  1. \(\frac{\sqrt{34}}{2} = 2.92\)

    1. (a) \(\lambda = \frac{1}{2}\)
    2. (b) \(\frac{\sqrt{254}}{2} = 7.97\)

Stretch

  1. \(\sqrt{5} = 2.24\)

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