CSEC Additional Mathematics · 2018 · Paper 1 · Question Q26
The position vector of two points A and B relative to an origin O are given by \vec{OA} = \begin{pmatrix} 3 \\ 8 \end{pmatrix} and \vec{OB} = \begin{pmatrix} 8 \\ 5 \end{pmatrix} respectively.
The modulus of \vec{AB} and the angle \vec{AB} makes with the x-axis respectively are
- (A)
\text{modulus} = 10,\text{angle} = 45^\circ - (B)
\text{modulus} = 10,\text{angle} = 30^\circ - (C)
\text{modulus} = \sqrt{50},\text{angle} = 45^\circ - (D)
\text{modulus} = \sqrt{50},\text{angle} = 90^\circ
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