parallelepiped

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1: 1.6 Vectors and Vector-Valued Functions

… ►Volume of a parallelepiped with vectors $𝐚$, $𝐛$, and $𝐜$ as edges $=\left|𝐚\cdot (𝐛\times 𝐜)\right|$. … ►Lastly, the volume of a parallelepiped with vectors $𝐚$, $𝐛$, and $𝐜$ as edges is $\left|{ϵ}_{jk\mathrm{\ell }}{a}_j{b}_k{c}_{\mathrm{\ell }}\right|$. …