Mathematics for IGCSE & O level - Vectors (Section 2 - No. 1)
If \(\vec{OA} = \begin{pmatrix} 2 \\ 3 \end{pmatrix}\) and \(\vec{OB} = \begin{pmatrix} 1 \\ 1 \end{pmatrix}\), find \(\vec{AB}\).
\(\begin{pmatrix} 3 \\ 4 \end{pmatrix}\)
\(\begin{pmatrix} 1 \\ 2 \end{pmatrix}\)
\(\begin{pmatrix} -1 \\ -2 \end{pmatrix}\)
\(\begin{pmatrix} -3 \\ -4 \end{pmatrix}\)
Explanation
AB = OB - OA = \(\begin{pmatrix} 1 \\ 1 \end{pmatrix}\) - \(\begin{pmatrix} 2 \\ 3 \end{pmatrix}\) = \(\begin{pmatrix} -1 \\ -2 \end{pmatrix}\)
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