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

Angles, perpendicular and parallel vectors Problem set A Answers

Skills

    1. (a) 79.9°
    2. (b) 71.2°
    3. (c) 105°

  2. 66.7°

    1. (a) t = 6.5
    2. (b) t = 0.5

  4. t = −1 or t = 3

In context

  1. 54.7°

  2. t = 1.5

Stretch

    1. (a) 84.1°
    2. (b) 14.5 square units

  2. Parallel, since \(|\mathbf{p}\cdot\mathbf{q}| = |\mathbf{p}||\mathbf{q}| = 84.0\). They point in opposite directions.

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