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Rochester Institute of Tech: Cartesian Coordinate System
A picture is shown to represent a position vector in three dimensions. The page explains that a position vector may be named at any point along a curve, and the criterion for a position vector.
OpenStax
Open Stax: Vectors, Scalars, and Coordinate Systems
In this interactive module, students will learn how to define and distinguish between scalar and vector quantities. They will assign a coordinate system for a scenario involving one-dimensional motion.
Wolfram Research
Wolfram Math World: Plane
This site defines a plane in terms of geometric surfaces. Content includes formulas for a plane using the normal vector, how to find the x, y, and z intercepts of a plane, distance from the origin, point plane distance formula, dihedral...
NASA
Nasa: Vectors
This site from NASA provides an excellent tutorial on vectors and their use in physics to describe the motion of objects. Vector addition and resolution are illustrated.
CK-12 Foundation
Ck 12: Analysis: Planes in Space
[Free Registration/Login may be required to access all resource tools.] The equation of a plane on an x, y, z coordinate graph
CK-12 Foundation
Ck 12: Vector Sum and Difference
[Free Registration/Login may be required to access all resource tools.] Looks at finding the direction and magnitude of vectors and breaking vectors into component parts.
CK-12 Foundation
Ck 12: Analysis: Polar and Cartesian Transformation
[Free Registration/Login may be required to access all resource tools.] Converting between polar and cartesian coordinates
Other
Vector Equation of a Plane
This site explains how to find the vector equation of a plane given either the normal vector and a point in the plane or three distinct points in the plane.
Physics Classroom
The Physics Classroom: Vectors and Projectiles: The Plane and the Wind
Observe the three planes in an animation where each plane flies amidst a wind that blows at 20 mph. Learn how tailwinds affect the resultant velocities.
Physics Classroom
The Physics Classroom: Vectors and Projectiles: The Plane and the Package
Consider a plane moving with a constant speed at an elevated height above the Earth's surface. In the course of its flight, the plane drops a package from its luggage compartment. This animation depicts such a situation. The path of the...
CK-12 Foundation
Ck 12: Analysis: Vector Equation of a Line
[Free Registration/Login may be required to access all resource tools.] Finding the Vector equation of a line in three dimensions
CK-12 Foundation
Ck 12: Analysis: Two Dimensional Vectors
[Free Registration/Login may be required to access all resource tools.] Introduction to vector notation in two dimensions
University of Nebraska
Rectangular Coordinates in 3 D
Advanced discussion of the components of a vector on a three dimensional plane is available here along with formulas and properties.
University of Virginia
Uva Physics: Using Vectors to Describe Motion
Background information on vectors and their use in describing motion in two dimensions. A comparison of Aristotle's and Galileo's perspectives on force and motion is given.
Wolfram Research
Wolfram Math World: Polar Coordinates
This math link contains a plethora of information on Polar coordinates. The site begins with a diagram illustrating the measurements used when working with polar coordinates then goes into detail on specifics of using this coordinate...
Sophia Learning
Sophia: Representing Forces on an Inclined Plane: Lesson 2
This lesson demonstrates how to draw free-body diagrams for objects at rest or sliding on an inclined plane. It is 2 of 2 in the series titled "Representing Forces on an Inclined Plane."
Interactive Mathematics
Interactive Mathematics: Polar Form of Complex Numbers
Using vectors as a starting point, this site demonstrates how complex numbers can be written in polar form. Several examples are included that require you to write complex numbers in polar and rectangular form and also represent them...
CK-12 Foundation
Ck 12: Applications of Matrices
[Free Registration/Login may be required to access all resource tools.] Provides resources for working with 2 x 2 matrices as transformations of the plane, and interpreting the absolute value of the determinant in terms of area.
Paul Dawkins
Paul's Online Notes: Calculus Iii: Applications of Partial Derivatives
The resource examines applications of partial derivatives. Topics investigated are tangent planes, linear approximation, gradient vector, and Lagrange multipliers. Class notes, definitions, and examples with detailed solutions are...
Math Planet
Math Planet: Geometry: Transformation Using Matrices
Explains how simple polygons translate into matrices and how to use 2x2 matrices to represent transformations in a plane. Includes video demonstrating an example where a vector must be rotated 90 degrees using matrices. [4:18]
Walter Fendt
Walter Fendt: Apps Zur Physik
This site, in German, offers numerous apps that illustrate common physics principles. Apps are organized into categories: mechanics, oscillations and waves, electrodynamics, optics, thermodynamics, the theory of relativity, physics of...
University of Georgia
University of Georgia: Transformations: Revisiting Congruence
This site presents information on the three basic transformations of figures in a plane: Reflections, Rotations, and Translations.