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Parallel and Skew Lines
Precalculus Equations of Lines, Parabolas and Circles
How to mark parallel lines, how to show lines are parallel, and how to compare skew and parallel lines.
parallel lines skew lines coplanar collinear 
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 
Converse of Parallel Lines Theorem
Precalculus Equations of Lines, Parabolas and Circles
How to take the converse of the parallel lines theorem.
parallel lines theorem transversal 
Lines in 3D
Precalculus Vectors and Parametric Equations
How to find the vector and parametric equations of a line when given two points on the line.
the vector equation of a line position vectors direction vector parametric equations 
Angle Inclination of a Line
Precalculus Advanced Trigonometry
How to find the angle of inclination of a line.
angle inclination horizontal lines tangent slope 
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 
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 
Perpendicular, Parallel and Skew Lines in Space
Precalculus Vectors and Parametric Equations
How to determine whether two lines in space are parallel or perpendicular.
perpendicular lines dot product direction vectors parallel lines scalar multiple skew lines 
The Vector Equation of a Line
Precalculus Vectors and Parametric Equations
How to write the vector equation of a line.
position vector direction vector vector addition scalar multiple vector equation line 
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 
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 
Lines in Polar Coordinates
Precalculus Polar Coordinates and Complex Numbers
How to find the polar equation of a line through the origin (or pole).
polar coordinates lines origin polar equation rectangular equation 
Parametrizing a Line Segment
Precalculus Vectors and Parametric Equations
How to write the parametric equations of a line segment that goes from point A to point B.
vector equation line segment parametric equations 
Motion Along a Line
Precalculus Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=0.
velocity constant velocity position vector equation of a line parametric equations parametric equations of a line 
Applied Linear Equations: Consecutive Numbers
Precalculus Linear Equations and Inequalities
How to solve a problem involving consecutive integers.
consecutive 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 
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