Inner Products

In this video, we look at the definition and properties of inner products and apply examples to orthogonality. We check for orthogonality using the inner product/dot product/scalar product on vectors in R^n, and also test for orthogonality using the inner product on a function space. We also look at example of finding another vector that is orthogonal to one or more vectors, using the traditional dot product and using an inner product on functions.