the complex plane 33 videos

The Complex Plane
Precalculus Polar Coordinates and Complex Numbers
How to plot complex numbers on the complex plane.
real numbers the number line complex numbers imaginary numbers the complex plane 
Introduction to Planes
Precalculus Vectors and Parametric Equations
How to write an equation for the coordinate planes or any plane that is parallel to one.
coordinate axes coordinate planes octants the first octant planes three dimensions 
Vectors and Planes
Precalculus Vectors and Parametric Equations
How to find a vector normal (perpendicular) to a plane given an equation for the plane.
normal vector position vector perpendicular vectors planes the equation of a plane 
Parallel Planes and Lines
Geometry Geometry Building Blocks
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
parallel lines skew plane 
Parallel Planes and Lines
Precalculus Equations of Lines, Parabolas and Circles
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
parallel lines skew plane 
Trigonometric Form of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to express a complex number in trigonometric form.
complex numbers the complex plane modulus argument sine cosine tangent rectangular form trigonometric form 
Adding and Subtracting Complex Numbers
Algebra 2 Roots and Radicals
How to add and subtract complex numbers.
adding and subtracting complex numbers 
The Angle Between Planes
Precalculus Vectors and Parametric Equations
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular.
normal vector the angle between planes perpendicular planes dot product scalar multiple parallel planes 
Simplifying Complex Fractions
Algebra 2 Rational Expressions and Functions
How to simplify a complex fraction.
complex fractions dividing by a fraction flip and multiply 
Finding the Roots of a Complex Number
Precalculus Polar Coordinates and Complex Numbers
How to use DeMoivre's Theorem to compute the cube roots of a complex number.
complex numbers trigonometric form complex roots cube roots modulus argument 
More Roots of Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to find the roots of a complex number quickly using four simple guidelines.
complex numbers trigonometric form complex roots modulus argument 
Multiplying Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to multiply two complex numbers in trigonometric form.
complex numbers trigonometric form modulus argument 
Dividing Complex Numbers
Precalculus Polar Coordinates and Complex Numbers
How to divide two complex numbers in trigonometric form.
complex numbers trigonometric form modulus argument conjugate 
Three Undefined Terms: Point, Line, and Plane
Geometry Geometry Building Blocks
How to describe and label point, line, and plane. How to define coplanar and collinear.
point line plane coplanar collinear 
Multiplying Complex Numbers
Algebra 2 Roots and Radicals
How to multiply imaginary numbers.
complex numbers multiplying i 
Dividing Complex Numbers
Algebra 2 Roots and Radicals
How to rationalize the denominator when dealing with an imaginary number.
dividing by i complex numbers 
Converting Complex Numbers From Rectangular Form to Trigonometric
Precalculus Polar Coordinates and Complex Numbers
How to convert a complex number from rectangular form to trigonometric form.
complex numbers rectangular form trigonometric form modulus argument 
Graphing 2 Variable Inequalities
Algebra Solving and Graphing Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
Graphing 2 Variable Inequalities
Precalculus Linear Equations and Inequalities
How to graph inequalities in the xy plane.
inequality y = mx+b Cartesian Coordinate plane shading 
DeMoivre's Theorem
Precalculus Polar Coordinates and Complex Numbers
How to raise a complex number to an integer power using DeMoivre's Theorem.
complex numbers trigonometric form modulus argument