89 Videos for "parametric equations"

Introduction to the 3D Coordinate System  Concept
Math › Precalculus › Vectors and Parametric Equations
How to define the components and length of a position vector 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 Midpoint and Distance Formulas in 3D  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to find the length and midpoint of a segment in three dimensions. 
Components of a Force  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the components of the weight of a block parallel to and perpendicular to the surface of an inclined plane. 
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. 
Algebraic Representation of Vectors  Concept
Math › Precalculus › Vectors and Parametric Equations
How to express a position vector algebraically in component form <a,b>, and how to compute its magnitude. 
Unit Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to find a unit vector in any direction given the direction's angle. 
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 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. 
Algebraic Representation of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to express a vector from point Q to point R algebraically in component form <a,b>. 
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. 
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  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. 
Addition and Scalar Multiplication of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors. 
Navigation Problems  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How we find the course and groundspeed of an airplane when we are given its velocity and the wind velocity. 
Addition and Scalar Multiplication of Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors. 
Navigation Problems  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How we find the course and groundspeed of an airplane when we are given its velocity and the wind velocity. 
The Geometric Representation of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude. 
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 Geometric Representation of Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude.