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<p>Given that column vectors \(\mathbf{a} = \begin{pmatrix} 3 \\ -4 \end{pmatrix}\) and \(\mathbf{b} = \begin{pmatrix} 10 \\ -4 \end{pmatrix}\).</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">Draw, on the \(1\) unit by \(1\) unit square grid provided, the relationship between \(\mathbf{a}\), \(\mathbf{b}\) and \(\mathbf{a} - \mathbf{b}\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the column vector of \(\mathbf{a} - \mathbf{b}\) numerically.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the value of \(|\mathbf{a}|\), \(|\mathbf{b}|\) and \(|\mathbf{a} - \mathbf{b}|\).</span></div></li><li><div class="list-item-content"><span class="list-item-text">Is \(|\mathbf{a} - \mathbf{b}| = |\mathbf{a}| - |\mathbf{b}|\)? Explain your answer.</span></div></li></ol>

Given that column vectors \(\mathbf{a} = \begin{pmatrix} 3 \\ -4 \end{pmatrix}\) and \(\mathbf{b} = \begin{pmatrix} 10 \\ -4 \end{pmatrix}\).

Draw, on the \(1\) unit by \(1\) unit square grid provided, the relationship between \(\mathbf{a}\), \(\mathbf{b}\) and \(\mathbf{a} - \mathbf{b}\).

Find the column vector of \(\mathbf{a} - \mathbf{b}\) numerically.

Find the value of \(|\mathbf{a}|\), \(|\mathbf{b}|\) and \(|\mathbf{a} - \mathbf{b}|\).

Is \(|\mathbf{a} - \mathbf{b}| = |\mathbf{a}| - |\mathbf{b}|\)? Explain your answer.

Numerical Analysis of Vector Subtraction in 2D

Numerical Analysis of Vector Subtraction in 2D

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