30 Videos for "scalar"

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. 
Unit Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to convert a vector into component form when it is expressed in terms of the unit vectors i and j. 
Vector Operations in 3D  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two vectors in three dimensions. 
The Midpoint and Distance Formulas in 3D  Concept
Math › Precalculus › Vectors and Parametric Equations
How to derive the formula for the midpoint of a segment 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. 
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 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  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. 
Parametrizing a Line Segment  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to find a parametrization of segment AB that uses s, the distance from point A, as a parameter.