Mathegoras

Coordinate geometry › Area from coordinates › Area from coordinates

Area of a triangle from vectors

High school · ●○○○○ 10 pts

Let a=(51)\mathbf{a} = \begin{pmatrix} 5 \\ 1 \end{pmatrix} and b=(24)\mathbf{b} = \begin{pmatrix} 2 \\ 4 \end{pmatrix}. Find the area of the triangle with vertices 0\mathbf{0}, a\mathbf{a}, and b\mathbf{b}.

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determinantstriangle areavectors in the planearea of parallelogram