Given that $\mathbf{p} = \begin{pmatrix} 1 \ -4 \end{pmatrix}$, \(\mathbf{q} = \begin{pmatri

Question

Given that $\mathbf{p} = \begin{pmatrix} 1 \ -4 \end{pmatrix}$, $\mathbf{q} = \begin{pmatrix} -3 \ -4 \end{pmatrix}$ and $\mathbf{r} = \begin{pmatrix} m \ -2 \end{pmatrix}$. Find $|\mathbf{q}|$. Express $2\mathbf{p} - \mathbf{q}$ as a column vector. Given that $\mathbf{p}$ is parallel to $\mathbf{r}$, find $m$.

Accepted Answer

(a) $5$ (b) $\begin{pmatrix}5\-4\end{pmatrix}$ (c) $\dfrac12$

Calculating Unknown Variables in Parallel Vector Systems

Calculating Unknown Variables in Parallel Vector Systems

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