20 Videos for "the dot product"

The Dot Product of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to compute the dot product of two vectors, and how to demonstrate that the dot product is commutative. 
The Dot Product of Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to compute the dot product of two vectors, and how to demonstrate that the dot product distributes over addition. 
The Dot Product of Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to compute the dot product of two vectors. 
The Dot Product of Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to prove that the dot product uu of a vector with itself equals the square of its magnitude abs(u)^2. 
The Cross Product of Vectors  Problem 2
Math › Precalculus › Systems of Linear Equations and Matrices
How to show that the cross product of vectors u and v is perpendicular to both u and v. 
Area With the Cross Product  Concept
Math › 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. 
Vector Operations in 3D  Concept
Math › Precalculus › Vectors and Parametric Equations
How to perform vector operations like addition, scalar multiplication, the dot product, and finding the magnitude, in three dimensions. 
The Angle Between Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to compute the angle between two vectors. 
The Angle Between Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to compute the angle between two vectors. 
The Angle Between Vectors  Problem 4
Math › Precalculus › Vectors and Parametric Equations
How to derive the formula for the angle between two vectors. 
The Angle Between Planes  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to determine if two planes are parallel or perpendicular. 
The Angle Between Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to determine whether two vectors are perpendicular or parallel. 
The Angle Between Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to compute one of the angles of a triangle when you are given the coordinates of its three vertices. 
The Angle Between Planes  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two planes. 
The Angle Between Planes  Concept
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between planes, and how to determine if two planes are parallel or perpendicular. 
The Angle Between Planes  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to find an equation of a plane parallel to or perpendicular to a given plane. 
Perpendicular, Parallel and Skew Lines in Space  Concept
Math › Precalculus › Vectors and Parametric Equations
How to determine whether two lines in space are parallel or perpendicular. 
Vector Operations in 3D  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two vectors in three dimensions. 
Vector Operations in 3D  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two vectors in 3D, and how to tell whether two vectors are parallel or perpendicular. 
Perpendicular, Parallel and Skew Lines in Space  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to find the equation of a line parallel to and perpendicular to a given line in space.