Posts Tagged ‘3D’
Thursday, November 19th, 2009
Defining the Angles Between Vectors
Description
A detailed tutorial on how to define the angles between vectors. Step by step tutorial including several examples of angles between vectors for reference.
Overview
In general, it is easier to find the angle between 2D vectors, rather than 3D vectors. In order to define the angles between vectors, we need to use the dot product in conjunction with a few other functions. The angles between vectors can be expressed as angle = arccos(v1xv2), where v1xv2 is how the dot product is expressed.
Tags: 2D, 3D, absolute, algebra, angle, arccos, conjunction, cosine, define, degrees, dot, function, linear, magnitude, product, radians, value, vector
Posted in Algebra | No Comments »
Tuesday, November 17th, 2009
How to Find Slant Height
Description
A detailed tutorial on how to find the slant height. Step by step tutorial including several examples of how to find the slant height for reference.
Overview
The slant height is an additional measure of height that is used for the different types of triangular prisms. The common traingular prisms are your typical pyramid, and cones. On a pyramid, the slant height is the height of one of the triangular faces. On a cone, the slant height is to be found using a formula that is only for the cone. It is the square root of the radius squared added to the real height squared.
Tags: 3D, base, cone, face, figure, geometrical, Geometry, height, polyhedron, prism, pyramid, shape, side, slant, triangle, triangular
Posted in Geometry | No Comments »
Tuesday, November 17th, 2009
Overview of Sides and Bases of Polyhedrons
Description
A detailed tutorial on sides and bases of polyhedrons. Step by step tutorial including several examples of sides and bases of polyhedrons for reference.
Overview
Sides and bases of polyhedrons are more commonly known as faces of 3D geometrical shapes. Typically on a polyhedron you will have 2 bases and several sides, although there are exceptions to that rule. The cylinder only has one side, and the triangular prism, or pyramid, only has one base. You can identify the base because it is a unique shape on the polyhedron. Everything else is a side. This only applied to your normal polyhedron shapes such as prisms.
Tags: 3D, bases, cylinder, faces, figure, geometrical, Geometry, polyhedron, prism, rectangular, regular, shape, sides, triangular, unique
Posted in Geometry | No Comments »
Friday, November 13th, 2009
Introduction to Aspect Ratio
Description
A detailed tutorial on what aspect ratio is. Step by step tutorial including several examples of how to find the aspect ratio for reference.
Overview
The aspect ratio can only be used when referring to a shape, typically a square type of shape, such as a square, rhombus, rectangle, or parallelogram. The aspect ratio is used very often for describing measurements. It is the ratio of the longer dimension to the shorter dimension – that is, the length to the width. In a 3D shape, the depth – which is the second measurement of width – is added to the end of this measurement.
Tags: 2D, 3D, aspect, depth, Geometry, length, measure, measurement, parallelogram, ratio, rectangle, rhombus, shape, square, width
Posted in Geometry | No Comments »
Friday, November 13th, 2009
An Overview of Composite Solids
Description
A detailed tutorial on what a composite solid is. Step by step tutorial including several examples of composite solids for reference.
Overview
A composite solid is exactly the same as a composite figure, only it is in 3D instead of in 2D. It is any kind of polyhedron (like a prism or a pyramid) that can be split into two or more of the basic types of polyhedrons in order to solve for the volume of the figure. Composite solids are very rare, and there are no regular types of solids that would be considered a composite solid.
Tags: 2D, 3D, area, basic, composite, difference, dimension, figure, Geometry, polyhedron, prism, pyramid, rare, solid, split, types, volume
Posted in Geometry | No Comments »
