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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.17

The vector product Problem set B Answers

Skills

  1. \(44.1\)

  2. \(24.6\)

  3. \(\begin{pmatrix}-14\\-9\\1\end{pmatrix}\)

  4. \(\begin{pmatrix}-12\\-24\\-2\end{pmatrix}\)

  5. \(17\mathbf{i} - 11\mathbf{j} - 9\mathbf{k}\)

  6. \(24\mathbf{i} + 12\mathbf{j} - 2\mathbf{k}\)

In context

  1. \(18.2\) N m

  2. \(\begin{pmatrix}-8\\-15\\20\end{pmatrix}\), or any non-zero multiple of it

Stretch

    1. (a) \(\begin{pmatrix}10\\-4\\13\end{pmatrix}\)
    2. (b) \(\mathbf{a} \cdot (\mathbf{a} \times \mathbf{b}) = 0\)

jmaths.xyz · AI HL · AHL 4.17 The vector product