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

Adding and subtracting vectors Problem set A Answers

Skills

    1. (a) \(\begin{pmatrix}7\\-9\\9\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}-7\\9\\-9\end{pmatrix}\)
    1. (a) \(\begin{pmatrix}3\\5\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}9\\-13\end{pmatrix}\)
    1. (a) \(\mathbf{a}+\mathbf{b}\)
    2. (b) \(\mathbf{b}+\mathbf{c}\)
    3. (c) \(\mathbf{a}+\mathbf{b}+\mathbf{c}\)
    1. (a) \(-\mathbf{a}-\mathbf{b}-\mathbf{c}\)
    2. (b) \(-\mathbf{a}-\mathbf{b}\)
    3. (c) \(-\mathbf{b}-\mathbf{c}\)

In context

    1. (a) \(\begin{pmatrix}9\\13\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}-9\\-13\end{pmatrix}\)
    1. (a) \(\begin{pmatrix}-5\\7\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}5\\-7\end{pmatrix}\)

Stretch

    1. (a) \(\mathbf{a}-\mathbf{b}\)
    2. (b) \(\mathbf{a}-\mathbf{b}+\mathbf{c}\)
    3. (c) \(\mathbf{b}-\mathbf{c}\)
    1. (a) \(\begin{pmatrix}3\\3\\-3\end{pmatrix}\)
    2. (b) \(\begin{pmatrix}1\\-5\\4\end{pmatrix}\)

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