Position and displacement
Position and displacement
4 marks
TGM Original
In origin O, A(2, 3) and B(-1, 7). A new origin O′ has old coordinates (10, -4). Find the new position vectors of A,B and the displacement AB.
Solution:
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Answer:\(\overrightarrow{O\prime A}=\begin{pmatrix}-8\\ 7\end{pmatrix},\ \overrightarrow{O\prime B}=\begin{pmatrix}-11\\ 11\end{pmatrix},\ \overrightarrow{AB}=\begin{pmatrix}-3\\ 4\end{pmatrix}\)
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