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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.13

The scalar product Problem set B Answers

Skills

  1. 25.4

  2. −23.9

    1. (a) 7
    2. (b) −4
    3. (c) 0
    1. (a) −3
    2. (b) 1

In context

  1. 7 J

  2. 99.7 J

Stretch

  1. 7

    1. (a) 1 and 7
    2. (b) \(\mathbf{b}+\mathbf{c} = \begin{pmatrix}3\\1\\3\end{pmatrix}\), and \(\mathbf{a}\cdot(\mathbf{b}+\mathbf{c}) = 8\)
    3. (c) 1 + (7) = 8, which equals 8

jmaths.xyz · AI HL · AHL 4.13 The scalar product: definition and component form