Three vectors and the zero vector
Three vectors and the zero vector
Secondary 4
5 marks
- Find \(\begin{pmatrix}2\\ -1\end{pmatrix}+\begin{pmatrix}-5\\ 3\end{pmatrix}+\begin{pmatrix}4\\ 6\end{pmatrix}\).[1]
- Find \(p\) and \(q\) given that \(\begin{pmatrix}p\\ 4\end{pmatrix}+\begin{pmatrix}-3\\ q\end{pmatrix}=\mathbf{0}\).[2]
- Simplify \(\overrightarrow{AB}+\overrightarrow{BC}+\overrightarrow{CD}\).[1]
- Simplify \(\overrightarrow{PQ}+\overrightarrow{QP}\).[1]
Solution:
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Answer:(a) \(\begin{pmatrix}1\\ 8\end{pmatrix}\) (b) \(p=3\), \(q=-4\) (c) \(\overrightarrow{AD}\) (d) \(\mathbf{0}\)
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