This video is a review of Two Dimensional Vectors. This video goes over applications of vectors. 3 examples are covered illustrating how to find the resultant force.

This video goes over the dot product also known as the scalar product. This video goes over 11 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

This video goes over the dot product also known as the scalar product. This video ends the dot product series by going over 3 proofs specifically the Cauchy-Schwarz Inequality, Triangle Inequality and the Parallelogram Law.

This video is a review of Two Dimensional Vectors. Topics include vectors in a coordinate system, vectors in standard position, and component form of a vector.

This video goes over the dot product also known as the scalar product. This video goes over 5 examples illustrating how to solve problems that make use of the geometric and component definition of the dot product.

This video goes over the dot product also known as the scalar product. This video covers direction angles and direction cosines. 3 examples are also covered illustrating how to solve problems involving direction angles and direction...

This video is a review of Two Dimensional Vectors. This video goes over 6 examples that make use of unit vectors.

This video goes over the dot product also known as the scalar product. This video goes over 3 examples illustrating how to find the scalar projection, vector projection, and orthogonal projection.

This video goes over 3 torque examples. This video also ends the cross product series.

This video goes over the dot product also known as the scalar product. This video goes over 5 Intermediate level examples that require the use of dot product.

This video is a review of Two Dimensional Vectors. This video goes over how to algebraically find the scalar multiple of a vector and vector addition. The concept of parallel vector is also introduced along with 2 examples.

This video is a review of Two Dimensional Vectors. This video goes over properties of vector operations. Properties are also proven geometrically and algebraically.

This video goes over the scalar triple product also known as the triple scalar product and its use in finding the volume of a parallelepiped and determining if 3 vectors are coplanar.

This video goes over various geometric properties of the cross product. Proofs of these properties are also presented as well as 2 examples.

This video is a review of Two Dimensional Vectors. This video goes over 5 examples covering how to write the component form of a vector and sketching vectors in standard position.

This video is a review of Two Dimensional Vectors. This video goes over 5 examples that make use of the algebraic definition of scalar multiplication and vector addition.

This video continues the exploration of a three dimensional cartesian coordinate system.This video covers three slightly more challenging examples requiring the use of the distance formula in three dimensions.

This video goes over the dot product also known as the scalar product. In this video we will derive another method to compute the dot product between two vectors by using their components. We will also cover the properties of the dot...

The Least Squares method is widely used to fit curves to data. This is called Least Squares regression. This video shows how to solve the ordinary least squares minimization problem for 1 unknown and 2 unknowns. In...

This video goes over the dot product also known as the scalar product. This video goes over a proof for the geometric definition of the dot product. This video also goes over 4 examples illustrating how to find the angle between two...

This video goes over the dot product also known as the scalar product. This video goes over how to find the work done by a constant force. 4 examples are also presented illustrating how to solve work problems.

This video is a review of Two Dimensional Vectors. This video goes over the basic concepts and terminology of vectors in a plane. Topics include: Vectors, Magnitude of a Vector, Equivalent Vectors, and Vector Notation. This video also...

This video covers Three Dimensional Vectors. This video goes over the various properties associated with three dimensional vectors. 3 basic examples are also covered illustrating how to solve problems that make use of vectors in space.

This video goes over various algebraic properties of the cross product. Proofs of these properties are also presented as well as 4 examples.