The position vector of point P is \begin{pmatrix}4\\-1\end{pmatrix} and the position vector of point Q is \begin{pmatrix}-2\cr k\end{pmatrix}. Given that |\overrightarrow{PQ}| = 10 units, find the value of k if k>0.

EM-1750

Length of a line segment

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

The position vector of point

P

\begin{pmatrix}4\\-1\end{pmatrix}

and the position vector of point

Q

\begin{pmatrix}-2\cr k\end{pmatrix}

. Given that

|\overrightarrow{PQ}| = 10

units, find the value of

k

k>0

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