Vector Equality and Variable Determination

Vector Equality and Variable Determination

Secondary 4

If \(\overrightarrow{AB} = \begin{pmatrix} x \\ 3 \end{pmatrix}\), \(\overrightarrow{CD} = \begin{pmatrix} -2 \\ x + 2y \end{pmatrix}\) and \(\overrightarrow{AB} = \overrightarrow{CD}\). Find the value of \(x\) and \(y\).

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Answer:\(x=-2,\ y=\frac{5}{2}\)

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