Home » Blog » Compute the volume of a parallelpiped determined by given vectors

Compute the volume of a parallelpiped determined by given vectors

Compute the volume of the parallelpiped determined by the vectors \mathbf{i} + \mathbf{j}, \ \mathbf{j} + \mathbf{k}, \ \mathbf{k} + \mathbf{i}.


The volume is given by the scalar triple product

    \[ V = (1,1,0) \cdot (0,1,1) \times (1,0,1) = (1,1,0) \cdot (1,1,1) = 2. \]

Point out an error, ask a question, offer an alternative solution (to use Latex type [latexpage] at the top of your comment):