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

The vector product Problem set A Answers

Skills

  1. \(59.8\)

  2. \(38.6\)

  3. \(\begin{pmatrix}6\\-8\\-13\end{pmatrix}\)

  4. \(\begin{pmatrix}11\\-2\\-6\end{pmatrix}\)

  5. \(10\mathbf{i} - 9\mathbf{j} - 7\mathbf{k}\)

  6. \(6\mathbf{i} - 2\mathbf{j} + 15\mathbf{k}\)

In context

  1. \(26.3\) N m

  2. \(\begin{pmatrix}-3\\-4\\12\end{pmatrix}\), or any non-zero multiple of it

Stretch

    1. (a) \(\begin{pmatrix}14\\-11\\-9\end{pmatrix}\)
    2. (b) \(\mathbf{a} \cdot (\mathbf{a} \times \mathbf{b}) = 0\)

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