45 Videos for "magnitude"

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. 
Navigation Problems  Concept
Math › Precalculus › Vectors and Parametric Equations
How we measure airspeed, wind, groundspeed, and other variables in navigation. 
Adding Vectors  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to plot the sum of two vectors and find its magnitude. 
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. 
Vector Quantities  Scalar Quantities
Science › Physics › Linear and Projectile Motion
Understanding the differences between vectors and scalar quantities. 
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. 
The Resultant of Two Forces  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the resultant of two forces. 
Unit Vectors  Problem 3
Math › Precalculus › Vectors and Parametric Equations
How to find a unit vector in any direction given the direction's angle. 
Area With the Cross Product  Problem 1
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of a parallelogram using the cross product of the vectors that determine it. 
The Midpoint and Distance Formulas in 3D  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the equation of a sphere with center (a,b,c) and radius r. 
The Angle Between Planes  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two planes. 
Vector Operations in 3D  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the angle between two vectors in three dimensions. 
Motion Along a Line  Problem 1
Math › Precalculus › Vectors and Parametric Equations
How to write equations describing motion in a straight line given the velocity and the position when t=2. 
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. 
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. 
Introduction to the 3D Coordinate System  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the equation of a sphere with radius r when it is centered at the origin. 
Motion Along a Line  Problem 2
Math › Precalculus › Vectors and Parametric Equations
How to find the velocity and speed, and the displacement and distance traveled, of an object traveling in a straight line. 
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>. 
Area With the Cross Product  Problem 3
Math › Precalculus › Systems of Linear Equations and Matrices
How to compute the area of a triangle in xyzspace using vectors formed from two of its sides. 
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.