Posts Tagged ‘coordinates’
Tuesday, October 27th, 2009
Definition of a Null Vector
Description
A detailed tutorial on the definition of a null vector. Step by step tutorial including several examples of null vectors for reference.
Overview
A null vector is a vector that has no direction. It is placed at the coordinates (0, 0, 0) in Euclidean space. Another name for a null vector is a zero vector. Although the null vector is the only vector that has no direction, we cannot say that the null vector is unique because more than one vector has the possibility of being null.
Tags: 0, algebra, arrow, coordinates, direction, Euclidean, length, magnitude, null, space, vector, zero
Posted in Algebra | No Comments »
Tuesday, October 27th, 2009
Introduction to Vector Equality
Description
A detailed tutorial on how to determine if two vectors are equal. Step by step tutorial including several examples of vector equality for reference.
Overview
Vectors are said to be equal if they have the same magnitude and direction. They must also have the same coordinates. Using this logic, it is possible to determine if you have two vectors 
and 
, they are equal if 
.
Tags: a, algebra, b, coordinates, direction, E, equal, equality, length, magnitude, vector
Posted in Algebra | No Comments »
Thursday, October 15th, 2009
Definition of Open and Closed Intervals
Description
A detailed tutorial on open and closed intervals. Step by step tutorial including several examples of open and closed intervals for reference.
Overview
An interval is a set of real numbers, expressed by an ordered pair. There are two types of intervals, open intervals and closed intervals. An open interval is an interval written with parenthesis. It implies that the endpoint is not included in the set. A closed interval is an interval written with brackets. It implies that the endpoint is included in the set. It is possible for one endpoint of an interval to be closed, and for the other to be open.
Tags: algebra, bounded, brackets, closed, coordinates, element, endpoint, interval, Math, open, ordered pair, parenthesis, real numbers, set
Posted in Algebra | No Comments »
Friday, October 2nd, 2009
Introduction to Scatter Plots
Description
A detailed tutorial on scatter plots. Step by step tutorial including several examples of scatter plots for reference.
Overview
A scatter plot is more of a diagram than a graph. but it uses Cartesian coordinates to display the values in a set of data. A scatter plot is normally defined as a collection of points – it is almost like a regular Cartesian graph, but the points are not connected and there are typically more of them. Scatter plots can also be 3D.
Tags: algebra, cartesian, collection, coordinates, horizontal, Math, points, scatter chart, scatter diagram, scatter graph, scatter plot, values, vertical
Posted in Algebra | No Comments »
Thursday, September 17th, 2009
How to Graph the Cosine Function
Description
A detailed tutorial on the solving of the graph of the cosine function. Step by step tutorial including several examples of how to solve the graph of the cosine function for reference.
Overview
Graphing the cosine function is not difficult, but there are a few steps you need to follow. The first is, you need to find all the different points on the graph. You do this by taking a unit circle and using radians and reference points to find all of your coordinates. Then plot your points on the graph, and “connect the dots”. The graph of the sine function should resemble a “wave” That simply goes down once in a big loop and comes back up again.
Tags: coordinates, cosine, function, graph, graphing, intercepts, Math, reference angle, trig, trigonometry, unit circle, wave, x, y
Posted in Trigonometry | No Comments »
Thursday, September 17th, 2009
How to Graph the Sine Function
Description
A detailed tutorial on the solving of the graph of the sine function. Step by step tutorial including several examples of how to solve the graph of the sine function for reference.
Overview
Graphing the sine function is not difficult, but there are a few steps you need to follow. The first is, you need to find all the different points on the graph. You do this by taking a unit circle and using radians and reference points to find all of your coordinates. Then plot your points on the graph, and “connect the dots”. The graph of the sine function has points at (0, 0), (pi/2, 1), (pi, 0), (3pi/2, -1), and (2, 0). The x-coordinates are all the main points around the circle while the y-cooridnates are your reference points. The graph of the sine function should resemble a “wave” that starts at the origin and travels in curves going both up and down.
Tags: coordinates, function, graph, graphing, intercepts, Math, reference angle, sine, trig, trigonometry, unit circle, wave, x, y
Posted in Trigonometry | No Comments »
