13 Videos for "the scalar product"

Addition and Scalar Multiplication of Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to compute the sum of two vectors or the product of a scalar and a vector. 
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 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  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. 
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 Planes  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to determine if two planes are parallel or perpendicular. 
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 Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to determine whether two vectors are perpendicular or parallel. 
Vector Operations in 3D  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two vectors in three dimensions. 
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. 
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. 
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.