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

The scalar product Problem set A Answers

Skills

  1. 64.3

  2. −52.0

    1. (a) 10
    2. (b) −27
    3. (c) 0
    1. (a) −3
    2. (b) −7

In context

  1. 12 J

  2. 2940 J

Stretch

  1. −5

    1. (a) 2 and −4
    2. (b) \(\mathbf{b}+\mathbf{c} = \begin{pmatrix}3\\5\\-1\end{pmatrix}\), and \(\mathbf{a}\cdot(\mathbf{b}+\mathbf{c}) = -2\)
    3. (c) 2 + (−4) = −2, which equals −2

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