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Area of a parallelogram with vector vertices

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Find the area of the parallelogram whose vertices are $$0$$, $$a$$, $$b$$, and $$a + b$$, where $$a$$ and $$b$$ are the vectors $${a} = \begin{pmatrix} \phantom -2 \\ -6 \\ \phantom -5 \end{pmatrix} \quad \text{and} \quad {b} = \begin{pmatrix} -1 \\ -2 \\ \phantom -0 \end{pmatrix}.$$

Apr 9, 2021