The position vector of point P is \begin{pmatrix}2\\-5\end{pmatrix} and the position vector of point Q is \begin{pmatrix}-4\cr k\end{pmatrix}, where k>0. Given that the length |PQ|=13 units, find the value of k.

EM-1752

Length of a line segment

E Math · Secondary 4 · Hard · Length of a line segment

The position vector of point

P

\begin{pmatrix}2\\-5\end{pmatrix}

and the position vector of point

Q

\begin{pmatrix}-4\cr k\end{pmatrix}

, where

k>0

. Given that the length

|PQ|=13

units, find the value of

k

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