Sec 3/4 E Math T16-Q23 - Position vector of a point dividing a line segment

Sec 3/4 E Math T16-Q23 - Position vector of a point dividing a line segment

Secondary 3
Original parallel to Sec3&4 E Math FA

Points \(A\) and \(B\) have position vectors \(\mathbf{a}=\begin{pmatrix}5\\2\end{pmatrix}\) and \(\mathbf{b}=\begin{pmatrix}2\\7\end{pmatrix}\). Point \(P\) divides \(AB\) internally in the ratio \(AP:PB=4:6\). Find the position vector of \(P\).

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Answer:\(\begin{pmatrix}3.8\\4\end{pmatrix}\).

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