17 A particle, \(P\), is initially at rest on a smooth horizontal surface.
A resultant force of \(\left[ \begin{array} { c } 12
9 \end{array} \right] \mathrm { N }\) is then applied to \(P\), so that it moves in a straight line.
17
- Find the magnitude of the resultant force.
17
- Two fixed points \(A\) and \(B\) have position vectors
$$\overrightarrow { O A } = \left[ \begin{array} { l }
3
7
\end{array} \right] \text { metres } \quad \text { and } \quad \overrightarrow { O B } = \left[ \begin{array} { c }
k
k - 1
\end{array} \right] \text { metres }$$
with respect to a fixed origin, \(O\)
\(P\) moves in a straight line parallel to \(\overrightarrow { A B }\)
17 - Find \(\overrightarrow { A B }\) in terms of \(k\)
17
- (ii) Find the value of \(k\)