Mathematics for IGCSE & O level - Vectors (Section 1 - No. 46)
Given \(\vec{u} = \begin{pmatrix} 3 \\ 1 \end{pmatrix}\) and \(\vec{v} = \begin{pmatrix} -2 \\ 4 \end{pmatrix}\), then \(\vec{u} - \vec{v}\) equals:
\(\begin{pmatrix} 1 \\ 5 \end{pmatrix}\)
\(\begin{pmatrix} 5 \\ -3 \end{pmatrix}\)
\(\begin{pmatrix} 1 \\ -3 \end{pmatrix}\)
\(\begin{pmatrix} 5 \\ 5 \end{pmatrix}\)
Explanation
\(\vec{u} - \vec{v} = \begin{pmatrix} 3 \\ 1 \end{pmatrix} - \begin{pmatrix} -2 \\ 4 \end{pmatrix} = \begin{pmatrix} 5 \\ -3 \end{pmatrix}\)
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