Understanding Equivalent Vectors
Understanding Equivalent Vectors
TGM Original
Given that \(\overrightarrow{AB} = \begin{pmatrix} 10 \\ 2s \end{pmatrix}\), \(\overrightarrow{CD} = \begin{pmatrix} 2s - 4t \\ -6 \end{pmatrix}\) and \(\overrightarrow{AB} = \overrightarrow{CD}\),
- find the values of \(s\) and \(t\).
- find the magnitude of \(\overrightarrow{AB}\) and \(\overrightarrow{CD}\).
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Answer:(a) s = -3 and t = -4. (b) |AB| = |CD| = 2√34 ≈ 11.7 units (3 s.f.).
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