It is given that $\mathbf{p}=\begin{pmatrix}6\-1\end{pmatrix}$ and \(\mathbf{q}=\begin{pmatrix}24

Question

It is given that $\mathbf{p}=\begin{pmatrix}6\-1\end{pmatrix}$ and $\mathbf{q}=\begin{pmatrix}24\-4\end{pmatrix}$. Express $\mathbf{q}$ in terms of $\mathbf{p}$. Hence, state the relationship between the directions represented by $\mathbf{p}$ and $\mathbf{q}$.

Accepted Answer

(a) $\mathbf{q}=4\mathbf{p}$; (b) parallel, same direction.

Sec 3/4 E Math T16-Q14 - Establishing that two vectors are parallel

Sec 3/4 E Math T16-Q14 - Establishing that two vectors are parallel

Solution:

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