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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.14

Angles, perpendicular and parallel vectors Problem set B Answers

Skills

    1. (a) 99.8°
    2. (b) 112°
    3. (c) 83.5°

  2. 37.7°

    1. (a) t = 1
    2. (b) t = −1.5

  4. t = 2 or t = 3

In context

  1. 32.9°

  2. t = 3

Stretch

    1. (a) 83.4°
    2. (b) 12.9 square units

  2. Parallel, since \(|\mathbf{p}\cdot\mathbf{q}| = |\mathbf{p}||\mathbf{q}| = 140\). They point in the same direction.

jmaths.xyz · AI HL · AHL 4.14 The angle between two vectors; perpendicular and parallel vectors