Draw the column vectors $\mathbf{c} = \begin{pmatrix} -5 \ 0 \end{pmatrix}$, \(\overrightarrow{AB

Question

Draw the column vectors $\mathbf{c} = \begin{pmatrix} -5 \ 0 \end{pmatrix}$, $\overrightarrow{AB} = \begin{pmatrix} -3 \ 5 \end{pmatrix}$ and $\overrightarrow{BC} = \begin{pmatrix} 8 \ 2 \end{pmatrix}$ on the $1$ unit by $1$ unit square grid provided. Find the magnitude of $\mathbf{c}$, $\overrightarrow{AB}$ and $\overrightarrow{BC}$. Write down the column vector of $\overrightarrow{AC}$.

Accepted Answer

(i) B = (10, 11), C = (18, 13), with the requested vectors drawn on the axes. (ii) |c| = 5 units, |AB| = 5.83 units, |BC| = 8.25 units (3 s.f.). (iii) AC = (5, 7)^T.

Geospatial Methods: Mapping Discrete Vector Components

Geospatial Methods: Mapping Discrete Vector Components

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