Ads
related to: bi vectors in geometry ppt slides template powerpoint editableaippt.com has been visited by 100K+ users in the past month
canva.com has been visited by 100K+ users in the past month
corporatetrainingmaterials.com has been visited by 10K+ users in the past month
slidespeak.co has been visited by 10K+ users in the past month
Search results
Results From The WOW.Com Content Network
The non-zero vectors in Cl n (R) or R n are associated with points in the projective space so vectors that differ only by a scale factor, so their exterior product is zero, map to the same point. Non-zero simple bivectors in ⋀ 2 R n represent lines in RP n −1 , with bivectors differing only by a (positive or negative) scale factor ...
The fundamental difference is that GA provides a new product of vectors called the "geometric product". Elements of GA are graded multivectors: scalars are grade 0, usual vectors are grade 1, bivectors are grade 2 and the highest grade (3 in the 3D case) is traditionally called the pseudoscalar and designated .
Many hyperbolic lines through point P not intersecting line a in the Beltrami Klein model A hyperbolic triheptagonal tiling in a Beltrami–Klein model projection. In geometry, the Beltrami–Klein model, also called the projective model, Klein disk model, and the Cayley–Klein model, is a model of hyperbolic geometry in which points are represented by the points in the interior of the unit ...
In mathematics, a bilinear form is a bilinear map V × V → K on a vector space V (the elements of which are called vectors) over a field K (the elements of which are called scalars). In other words, a bilinear form is a function B : V × V → K that is linear in each argument separately: B(u + v, w) = B(u, w) + B(v, w) and B(λu, v) = λB(u, v)
Some r-vectors are scalars (r = 0), vectors (r = 1) and bivectors (r = 2). One may generate a finite-dimensional GA by choosing a unit pseudoscalar (I). The set of all vectors that satisfy = is a vector space. The geometric product of the vectors in this vector space then defines the GA, of which I is a member.
This section duplicates the scope of other articles, specifically Translation (geometry) and Rotation (geometry). Please discuss this issue and help introduce a summary style to the section by replacing the section with a link and a summary or by splitting the content into a new article.