Let $\mathbf{a}=\begin{pmatrix}-3\ 4\end{pmatrix}$ and $\mathbf{b}=-2\mathbf{a}$. Find \(\

Question

Let $\mathbf{a}=\begin{pmatrix}-3\ 4\end{pmatrix}$ and $\mathbf{b}=-2\mathbf{a}$. Find $\mathbf{b}$.[1] Find $|\mathbf{b}|$.[1] Describe the direction of $\mathbf{b}$ relative to $\mathbf{a}$.[1]

Accepted Answer

(a) $\begin{pmatrix}6\ -8\end{pmatrix}$ (b) $10$ (c) Opposite directions

A negative scalar multiple

A negative scalar multiple

Solution:

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