89 Videos for "parametric equations"

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. 
Introduction to the 3D Coordinate System  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to find the coordinates of the vertices of a rectangular box. 
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. 
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. 
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. 
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. 
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. 
Addition and Scalar Multiplication of Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors. 
Addition and Scalar Multiplication of Vectors  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to compute the difference of two vectors. 
The Geometric Representation of Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to plot a vector given its initial point and terminal point, and how to find its magnitude. 
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 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. 
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. 
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. 
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. 
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 Resultant of Two Forces  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the resultant of two forces at an acute angle (45 degrees). 
Adding Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to plot the sum of two vectors (one the opposite of the other) and find its magnitude.