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- ...igh school algebra. [[Group]]s, [[ring]]s, [[field]]s, [[module]]s, and [[vector space]]s are common objects of study in higher algebra.6 KB (866 words) - 06:57, 17 January 2025
- ...igh school algebra. [[Group]]s, [[ring]]s, [[field]]s, [[module]]s, and [[vector space]]s are common objects of study in higher algebra.3 KB (369 words) - 20:18, 18 June 2021
- Let <math> (a,b)</math> denote a [[normal vector]] of the side containing <math> A</math>. Note that <math>\overline{AC}, \o3 KB (561 words) - 13:11, 18 February 2018
- ...{(I-G) \cdot P}{|P|}</math>, where G is any point on the plane, and P is a vector perpendicular to ABC. A vector <math>P</math> perpendicular to plane <math>ABC</math> can be found as <mat8 KB (1,241 words) - 12:47, 1 October 2024
- ====4.1.2: Eigenvalue/vector bash==== ...he domain of <math>\hat{T}</math> where everything gets mapped to the null vector.15 KB (2,406 words) - 22:56, 23 November 2023
- ...clidean 3-D space, the surface of the Earth, or any [[real number|real]] [[vector space]]) the diameter of a [[bounded]] set of points is the [[supremum]] of1 KB (174 words) - 18:12, 16 January 2025
- ''normal stable subgroup'' if it is a [[normal subgroup]] and a [[field]]s, and [[vector space]]s)—are special cases of this1 KB (234 words) - 22:30, 18 May 2009
- An [[eigenvector]] <math>\bold{v} \in K^n</math> is a non-zero vector that satisfies the relation <math>A\bold{v} = \lambda\bold{v}</math>, for s Hence, there exists a non-zero vector <math>\bold{v} = (v_1, v_2, \ldots, v_n) \in K^n</math> such that <math>(\l19 KB (3,412 words) - 13:57, 21 September 2022
- The vector <math>\vec{PQ}=\langle 6,0,-3\rangle</math> and <math>\vec{PR}=\left\langle ...he result <math>-9\sqrt{3}i -15j -18\sqrt{3} k</math>. Therefore, a normal vector of the plane of the solar panel is <math>\left\langle -9\sqrt{3},-15,-18\sq10 KB (1,706 words) - 00:52, 17 September 2024
- ...y]]. In terms of university course listings, it is common to use the word "vector calculus" synonymously with [[Multivariable calculus|multivariable calculus ...In particular, one can describe the [[Euler equations]] via the methods of vector analysis.9 KB (1,488 words) - 23:07, 19 January 2025
- A set of [[vector]]s <math>\{v_k\}</math> is '''orthonormal''' if its elements <math>v_k</mat ...refers to the fact that the norm (magnitude) <math>||v_k||</math> of every vector in the set is one, since <math>||v_k||^2 = v_k \cdot v_k = 1</math>.3 KB (518 words) - 21:17, 26 June 2023
- ...~(4,5,0)\),
, and . Then the plane has a normal ...that <math>\overrightarrow{AB}\times\overrightarrow{AC}</math> is a normal vector of the <math>\Delta ABC</math> because the cross product of two vectors is17 KB (2,702 words) - 14:43, 28 November 2024 - ...now know that <math>f(a)=81a+108\sqrt{16-a^2}</math>, and can proceed with normal calculus. ==Solution 2a (Cauchy-Schwartz and vector algebra)==15 KB (2,348 words) - 02:18, 16 December 2024