Points $A$ and $B$ have position vectors $\mathbf{a}=\begin{pmatrix}5\0\end{pmatrix}$ and \(\

Question

Points $A$ and $B$ have position vectors $\mathbf{a}=\begin{pmatrix}5\0\end{pmatrix}$ and $\mathbf{b}=\begin{pmatrix}0\7\end{pmatrix}$. Point $P$ divides $AB$ internally in the ratio $AP:PB=2:4$. Find the position vector of $P$.

Accepted Answer

$\begin{pmatrix}3.333\2.333\end{pmatrix}$.

Sec 3/4 E Math Mock 1-Q14 - Mock Paper 1: Position vector of a point dividing a line segment

Sec 3/4 E Math Mock 1-Q14 - Mock Paper 1: Position vector of a point dividing a line segment

Solution:

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