two points 32 videos
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The Resultant of Two Forces
Precalculus Vectors and Parametric Equations
How to find the resultant of two forces when they are parallel, opposite, or perpendicular in direction.
Forces Resultant Vector Addition Magnitude Direction The Pythagorean Theorem -
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 -
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 -
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 -
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 -
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 -
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 -
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 -
Adding Vectors
Precalculus Vectors and Parametric Equations
How to add vectors geometrically two ways.
Displacement Vector Addition Head to Tail Method Parallelogram Method -
The Dot Product of Vectors
Precalculus Vectors and Parametric Equations
How to compute the dot product of two vectors.
vector components component form dot product scalar product -
The Angle Between Vectors
Precalculus Vectors and Parametric Equations
How to compute the angle between two vectors.
dot product angle between vectors position vectors -
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 Inverse of a Square Matrix
Precalculus Systems of Linear Equations and Matrices
How to determine whether two matrices are inverses.
matrices square matrices the identity matrix matrix multiplication invertible inverse matrix -
The Cross Product of Vectors
Precalculus Systems of Linear Equations and Matrices
How to compute the cross product of two 3D vectors.
unit vectors components cross product determinant -
Cramer's Rule
Precalculus Systems of Linear Equations and Matrices
How to solve a system of two linear equations with two unknowns using Cramer's rule.
systems of linear equations Cramer's rule determinant coefficient matrix -
Area With the Cross Product
Precalculus Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
cross product magnitude of vectors dot product angle between vectors area parallelogram -
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
