We show how to find the eigenvectors for the 3 by 3 matrix whose eigenvalues were calculated in a separate presentation.

The video shows a simplification of a vector triple product.

The definition of the vector product is used to identify the cross products of the various basis vectors i, j and k with each-other, in preparation for unravelling a component form for the vector product.

This video explains how cross products between the basis vectors i,j and k identified in part 2 are used to obtain an expression in components for the vector product of any pair of vectors.

In this video the definition of the vector product is explained with reasons for making such a definition.

In this video we introduce the Kronecker delta and identify it as just another way of writing the unit matrix.

This video covers the definition of the scalar product is used to derive an expression for the product in terms of components. Some properties of the product are then summarized.

In this video, the definition of the scalar product is explained using the example of work done by a force.

In this video we investigate and prove frequently used properties of the scalar product.

We discuss the solutions of the equation p(x)/q(x) = 0 where p and q are in principle any functions. We revise the meanings of the terms 'numerator' and 'denominator'.