Mathematics for IGCSE & O level - Vectors (Section 1 - No. 44)
Given \(\vec{AB} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(\vec{AC} = \begin{pmatrix} 1 \\ -1 \end{pmatrix}\), what is \(\vec{BC}\)?
\(\begin{pmatrix} 1 \\ 4 \end{pmatrix}\)
\(\begin{pmatrix} -1 \\ -4 \end{pmatrix}\)
\(\begin{pmatrix} 3 \\ 2 \end{pmatrix}\)
\(\begin{pmatrix} -1 \\ 4 \end{pmatrix}\)
解释
BC = AC - AB = \(\begin{pmatrix} 1 \\ -1 \end{pmatrix}\) - \(\begin{pmatrix} 2 \\ 3 \end{pmatrix}\) = \(\begin{pmatrix} -1 \\ -4 \end{pmatrix}\)