Tuesday, October 27th, 2009
How to Find the Component of a Vector
Description
A detailed tutorial on finding the component of a vector. Step by step tutorial including several examples of how to find the component of a vector for reference.
Overview
There are three different kinds of components that can be found in vectors: axial components, radial components, and tangential components. Just like the vectors themselves, different types of components are found in different coordinate systems. Axial components are found in the Cartesian coordinate system, while radial and tangential components are found in the polar coordinate system. A component is exactly the same as it’s dictionary definition: it is just a small part that makes up a whole, so in this case they are small parts of a vector. The vector itself is also a component.
Tags: algebra, axial, cartesian, component, coordinate, polar, radial, system, tangential, vector
Posted in Algebra | No Comments »
Tuesday, October 6th, 2009
Plotting Points in the Polar Coordinate System
Description
A detailed tutorial on plotting points in the polar coordinate system. Step by step tutorial including several examples of how to plot points on the polar coordinate system for reference.
Overview
By this point, everyone should know how to plot points on a normal graph. But what about a circular graph? This circular graph is called the polar coordinate system or the polar plane. Instead of using the points (x, y), the polar coordinate system uses the points (r, theta). Theta is a greek letter that looks like a zero with a horizontal line drawn through the center. Most of the points you will be finding for the polar coordinate system will be used with trigonometric functions – sine, cosine, and tangent. Graphing occurs in about the same way as it would on a normal graph – just match up the points, even if they are on a circle.
Tags: Calculus, circle, coordinate, cosine, function, functions, graph, Math, points, polar, r, sine, system, tangent, theta, trig, trigonometric, x, y
Posted in Calculus | No Comments »