Posts Tagged ‘three’
Tuesday, November 17th, 2009
Introduction to Orthogonal Vectors
Description
A detailed tutorial on orthogonal vectors. Step by step tutorial including several examples of orthogonal vectors for reference.
Overview
Orthogonal vectors are vectors that are perpendicular. You can determine if vectors are perpendicular by finding the dot product. If the dot product is equal to zero, then the vectors are perpendicular. In certain dimensions, it is possible for three vectors to be perpendicular to each other. In this case, all three of those vectors are considered to be orthogonal. However, in general, orthogonal vectors is a term used to describe a pair of vectors.
Tags: algebra, dot, linear, pair, perpendicular, product, space, three, three-space, two, vectors, zero
Posted in Algebra | No Comments »
Thursday, November 12th, 2009
How to Identify Pythagorean Triples
Description
A detailed tutorial on Pythagorean triples. Step by step tutorial including several examples of Pythagorean triples for reference.
Overview
A Pythagorean triple is a set of three numbers that make up a right triangle. They are the measure of the sides, not the measure of the angles. This you should know by looking at the name. The Pythagorean theorem deals with only the sides of the right triangle, so Pythagorean triples should also only deal with the sides of a right triangle. All the numbers must be integers, and they must be positive. They are written rather like coordinates are, in a (a, b, c) pattern. A common example is is (3, 4, 5). From any triple, any other triple can be found. If (a, b, c) is a triple, then (ka, kb, kc) also must be a triple, according to the rule of similar triangles.
Tags: angles, Geometry, integer, measure, multiple, number, positive, pythagorean, right, sides, similar, theorem, three, triangle, triples
Posted in Geometry | No Comments »
Thursday, November 12th, 2009
Definition of Skew Lines
Description
A detailed tutorial on skew lines. Step by step tutorial including several examples and a visual example of skew lines and what they are for reference.
Overview
Skew lines are two lines that do not intersect and are not parallel. In general, these lines have nothing in common. Think of dropping two sticks on the ground from high up. Provided they do not intersect each other (cross or touch each other in any way), those sticks are now a perfect example of skew lines. Typically, these lines are also not found in the same plane. Skew lines can only exist in three or more dimensions.
Tags: arithmetic, common, cross, different, dimension, Geometry, intersect, line, lines, nothing, parallel, plane, skew, three, touch
Posted in Arithmetic | No Comments »
Tuesday, November 3rd, 2009
Introduction to Square Matrices
Description
A detailed tutorial on square matrices and how to identify them. Step by step tutorial including several examples of square matrices for reference.
Overview
A square matrix is a simple matrix in the shape of a square. It has the same number of rows and columns. Square matrices are called nxn matrces. The most common values for n are 2 and 3. Two columns and rows is the smallest amount of rows and columns a square matrix can have – matrices with only one value are not considered to be square.
Tags: 2, 2x2, 3, 3x3, algebra, columns, equal, equivalent, linear, matrices, matrix, n!, number, nxn, rows, same, shape, square, three, two, values
Posted in Algebra | No Comments »
