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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.2

Adding and subtracting vectors Problem set B Answers

Skills

    1. (a) \(\begin{pmatrix}-8\\10\\-6\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}8\\-10\\6\end{pmatrix}\)
    1. (a) \(\begin{pmatrix}-6\\-2\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}-10\\12\end{pmatrix}\)
    1. (a) \(\mathbf{x}+\mathbf{y}\)
    2. (b) \(\mathbf{y}+\mathbf{z}\)
    3. (c) \(\mathbf{x}+\mathbf{y}+\mathbf{z}\)
    1. (a) \(-\mathbf{x}-\mathbf{y}-\mathbf{z}\)
    2. (b) \(-\mathbf{x}-\mathbf{y}\)
    3. (c) \(-\mathbf{y}-\mathbf{z}\)

In context

    1. (a) \(\begin{pmatrix}6\\3\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}-6\\-3\end{pmatrix}\)
    1. (a) \(\begin{pmatrix}11\\-8\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}-11\\8\end{pmatrix}\)

Stretch

    1. (a) \(\mathbf{x}+\mathbf{y}-\mathbf{z}\)
    2. (b) \(\mathbf{y}-\mathbf{z}\)
    3. (c) \(-\mathbf{x}-\mathbf{y}+\mathbf{z}\)
    1. (a) \(\begin{pmatrix}2\\3\\10\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}-3\\3\\-7\end{pmatrix}\)

jmaths.xyz · AI HL · AHL 4.2 Adding and subtracting vectors