Discover the Rules of Multiplying Integers Using Opposites and The Commutative Property

This video provides one way of understanding the rules of multiplying integers by using opposites and the commutative property of multiplication.

Ex: Find the Net Force of Three Vectors and the Opposite Force

This video explains how to find the net force given by three vectors by adding the component form of the vectors.  The opposite force is also found.

Ex: Write a Vector as a Combination of Two Vectors

This video explains how to write a vector as a sum of scalar multiples of two vectors.  The results are verified graphically.

Ex: Find the Coordinates on a Circle Given an Angle and the Radius

This video explains how to determine the coordinates of a point on a circle given an angle and the radius of the circle.

Ex: Sine and Cosine Values Using Reference Triangles – Degrees

This video explains how t use the 30-60-90 and 45-45-90 reference triangles to determine sine and cosine function values on the coordinate plane.

Solve a System of Linear Equations Using LU Decomposition

This video explains how to use LU Decomposition to solve a system of linear equations.

LU Decomposition – Shortcut Method

This video explains how to find the LU Decomposition of a square matrix using a shortcut involving the opposite of multipliers used when performing row operations.

Ex: Factor a Difference of Squares in the Form a^2 – x^2

This video provides an example of how to factor a binomial that is a difference of squares with the constant term first and the variable term second.

Ex 4: Add and Subtract Rational Expressions – Unlike Denominators

This video provides two examples of how to add and subtraction rational expressions when the denominators are different.

Ex 3: Add and Subtract Rational Expressions – Unlike Denominators

This video provides two examples of how to add and subtraction rational expressions when the denominators are different.