A helicopter flies $20$ km from the starting point $O$ on a bearing of $95^\circ$ to reach \(P

Question

A helicopter flies $20$ km from the starting point $O$ on a bearing of $95^\circ$ to reach $P$. From $P$ it flies another $30$ km on a bearing of $250^\circ$ to $Q$. From $Q$ it then returns $O$ directly. Find the position vector of $P$ relative to $O$. the distance of $OQ$. the bearing of $Q$ from $O$. the position vector of $Q$ relative to $O$.

Accepted Answer

With east/north components in kilometres: (a) $\begin{pmatrix}19.9\ -1.74\end{pmatrix}$ (b) $14.6$ km (c) $214.6^\circ$ (d) $\begin{pmatrix}-8.27\ -12.0\end{pmatrix}$.

Vectors - Vector Addition

Vectors - Vector Addition

Solution:

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