The vectors $\mathbf{p}=\begin{pmatrix}3\ -2\end{pmatrix}$ and \(\mathbf{q}=\begin{pmatrix}k\ 10

Question

The vectors $\mathbf{p}=\begin{pmatrix}3\ -2\end{pmatrix}$ and $\mathbf{q}=\begin{pmatrix}k\ 10\end{pmatrix}$ are parallel. Find $k$.[2] State whether they point in the same or opposite directions.[1]

Accepted Answer

(a) $k=-15$ (b) Opposite directions

Finding a scalar from parallelism

Finding a scalar from parallelism

Solution:

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