points on a line 26 videos

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 
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 
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 
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 
Angle Inclination of a Line
Precalculus Advanced Trigonometry
How to find the angle of inclination of a line.
angle inclination horizontal lines tangent slope 
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 
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 
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 
The Geometric Representation of Vectors
Precalculus Vectors and Parametric Equations
How to understand what vectors are, and how they can be represented geometrically.
Magnitude Direction Scalar Vector Directed Line Segment Initial Point Terminal Point 
Converting from Rectangular Coordinates to Polar
Precalculus Polar Coordinates and Complex Numbers
How to convert the rectangular coordinates of a point into polar coordinates.
polar coordinates rectangular coordinates Pythagorean theorem sine cosine tangent 
Graphing Polar Equations
Precalculus Polar Coordinates and Complex Numbers
How to sketch a simple polar curve by plotting points.
polar graph polar equation 
Graphing the Transformation y = f(x  h)
Precalculus Introduction to Functions
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
functions transformations horizontal shift end point 
Find an Equation for the Sine or Cosine Wave
Precalculus Trigonometric Functions
How to identify the graph of a stretched cosine curve.
sine cosine period amplitude intercepts turning points 
The Midpoint and Distance Formulas in 3D
Precalculus Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment in three dimensions.
position vectors the vector from point a to point b the midpoint formula vector addition scalar multiplication 
Transforming the Cotangent Graph
Precalculus Trigonometric Functions
How graph the cotangent function using five key points.
cosine sine cotangent even and odd functions the add pi identities period vertical asymptotes 
Transforming Secant and Cosecant
Precalculus Trigonometric Functions
How graph the secant function using five key points.
even functions the add pi identities secant cosine vertical asymptotes period periodicity 
Graphing the Transformation y = a f(x) + k
Precalculus Introduction to Functions
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
functions transformations stretch compression reflection vertical shift turning point 
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