In this video I compute three dot products in slightly different forms.

This is an example of taking the gradient of the magnitude of the position vector.

This is an example of how to use the dot product to find the angle between two vectors.

This is an example of how to use the dot product to determine the angle between two vectors.

This is a simple derivation of the law of cosines that shows some basic vector properties .

This is an example of how to test a function to see if it has even or odd symmetry. I test the sinc function and confirm it is even.

This is an example of how easy it is to integrate an odd function over symmetric bounds...it's just zero.

This is an example of integrating an even function. When f(x) = f(-x) and the bounds of integration are symmetric you can use this trick to sometimes make your job easier.

This is a third example of taking the derivative of a multi-product function using a trick from Feynman's tips on physics. I compare this method with the product rule.

This is another example using only two products, e^3x and (x^2+4)^3. I compare the technique found in Feynman's tips on physics to the product standard product rule method.

It could have been called the productquotientchain rule I guess. Best used for situations that would call for multiple applications of the product quotient and chain rules

This is my third example of an iterated integral. I start with a simple graph and use an iterated integral to find the area under the curve.

This is the second example of an iterated integral.

This is an example of taking an iterated integral in this case dydx. The order can be changed carefully but usually one was is easier than the other.

This is an example of taking the derivative of a parametric function.

This is my seconds example of taking the derivative of a parametric function.

This is an example of how to take the derivative of a parametric function.

This is my third example of finding the curl of a vector function in Cartesian coordinates.

This is another example of taking the curl in Cartesian coordinates.

This is an example of taking the curl in Cartesian coordinates.

This is another example of the cross product in Cartesian coordinates.

This is my second example of doing the cross product in Cartesian coordinates.

This is an example of taking a cross product in Cartesian coordinates.

This is an example of taking the divergence in Cartesian coordinates.

This is another example of taking the divergence in Cartesian coordinates.