A civil engineer at the World Bank is designing a sustainable pedestrian bridge that follows a linear path defined by the parametric equation \(\mathbf{r}(t) = egin{pmatrix} 1 \ -2 \end{pmatrix} + t egin{pmatrix} 3 \ 1 \end{pmatrix}\). They need to locate the point on this line closest to a proposed water source located at \(egin{pmatrix} 5 \ 4 \end{pmatrix}\). Find the coordinates of this closest point.

Fri, 01 May 2026 05:58:05 +0000

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