Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! ðŸ™‚ https://www.patreon.com/patrickjmt !! Volume of a Parallelpiped Using Vectors (Multivariable Calculus). Here we find the volume of a 3 dimensional object determined by vectors by using: magnitude, dot product, cross product. You can also show that 3 vectors are parallel using this procedure (you show the volume is zero!).

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showing how to integrate the function 1/(5cosh(x)+3sinh(x)) using hyperbolic substitution with cosh and sinh