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- From the definition of a covariant [[../Vectors/|vector]] (covariant [[../Tensor/|tensor]] of rank 1) The components of cartesian basis vectors to polar basis vectors transform the same way, but now the polar coordinates have the bar ...3 KB (433 words) - 03:49, 13 September 2020
- == Vectors in Mechanics == === Vectors === ...15 KB (2,268 words) - 03:27, 3 March 2022
- ==Theoretical vectors== ==Unit vectors== ...8 KB (1,083 words) - 00:31, 28 January 2024
- '''[[Distances/Vectors]]''' is a lecture about the application of laboratory physics to astronomic You are free to take this quiz based on [[Distances/Vectors]] at any time. ...8 KB (1,287 words) - 09:50, 11 June 2021
- [[Image:3D Vector.svg|200px|thumb|right]] For standard basis, or unit, vectors ('''i''', '''j''', '''k''') and vector components of '''a''' ('''a'''<sub>x [[Image:3D Vector.svg|200px|thumb|right]] For standard basis, or unit, vectors ('''i''', '''j''', '''k''') and vector components of '''a''' ('''a'''<sub>x ...6 KB (1,026 words) - 21:04, 16 August 2022
- ===Chapter 1: Vectors and Their Composition=== ...>O</math>, to the other, <math>P</math>. In this sense it is called a [[../Vectors/|vector]]. ...23 KB (3,924 words) - 10:32, 11 October 2023
- This is Part 2, of the tutorial on vectors, aimed at A-level Mechanics students. == Displacement vectors and distances == ...9 KB (1,565 words) - 05:13, 10 February 2020
- ...Einstein's famous stress-energy tensor. Even dot and cross product of two vectors are also tensor. ...omponents(meaning actually it has 9 or <math>3\times3</math> components of vectors now) and they are somehow coupled.This means that when the co-ordinate syst ...25 KB (3,939 words) - 21:25, 6 March 2022
- ...ericalCoordinates.html</ref>, we have the following relations for the unit vectors in a Spherical coordinate system: ...1 KB (249 words) - 22:33, 2 September 2016
- ...ericalCoordinates.html</ref>, we have the following relations for the unit vectors in a Spherical coordinate system: ...2 KB (392 words) - 22:33, 2 September 2016
- ...Einstein's famous stress-energy tensor. Even dot and cross product of two vectors are also tensor. ...omponents(meaning actually it has 9 or <math>3\times3</math> components of vectors now) and they are somehow coupled.This means that when the co-ordinate syst ...25 KB (3,962 words) - 05:20, 10 October 2024
- ==== An Example of Representing the Cross Product of Two Vectors ==== ...ints. Point O at the origin (0,0), point A (3,3) and point B (5,0). Using vectors AO and BO, calculate the area of the triangle. The area of a triangle can b ...3 KB (490 words) - 17:49, 6 February 2020
- 1 KB (204 words) - 22:33, 2 September 2016
- 747 bytes (122 words) - 22:33, 2 September 2016
- ==Intervals and vectors== The fundamental theorem is actually about ''intervals'', or '''spacetime vectors'''. Given two events, let Δx be the distance between them along the ...19 KB (3,118 words) - 07:59, 19 May 2023
Page text matches
- ...etric interpretation allows us to find the angle between two [[../Vectors/|vectors]] because It is also useful to note that if the two vectors are perpindicular, their dot product is zero since ...537 bytes (89 words) - 05:09, 12 September 2020
- ...ties]. One operation is vector addition, a binary operation that takes two vectors yields another vector. The other is called scalar multiplication, a binary ...following videos demonstrate these operations on real-valued matrices and vectors. ...2 KB (239 words) - 10:03, 14 January 2024
- ==Sum and difference of 2 vectors== == Dot product of two vectors == ...4 KB (733 words) - 14:04, 5 May 2019
- Linear algebra is a branch of mathematics that studies objects called vectors, vector spaces, linear equations, linear maps, and matrices. It also studie == Vectors == ...4 KB (649 words) - 15:18, 13 January 2024
- ...es and pulling from experience with [[../Vectors/|scalars]], [[../Vectors/|vectors]] and [[../Matrix/|matrices]]. A scalar quantity such as [[../BoltzmannCons ...sisVectors/|transformation between cartesian basis vectors and polar basis vectors]]. ...3 KB (396 words) - 03:48, 13 September 2020
- ː[[File:Unit vectors simple picture.svg|140px]] A Vector sum of 2 vectors ...2 KB (294 words) - 14:03, 5 May 2019
- Vectors are defined in [[Wikipedia:spherical coordinates|spherical coordinates]] by Any vector field can be written in terms of the unit vectors as: ...2 KB (358 words) - 05:20, 16 December 2022
- ...operties. Instead of the cosine of the angle between the two [[../Vectors/|vectors]] the cross product is defined geometrically as ...]] <math>\mathbf{\hat{n}}</math> is normal to the plane defined by the two vectors with the direction determined by the right hand rule. ...1 KB (241 words) - 14:41, 8 October 2023
- ...ranspose a column vector you obtain a row vector. Dirac's way to write row vectors are Bras: <math>\langle v|</math>. Bra and ket are just a pun for bracket. ..." is the name given to a matrix intended to be multiplied on both sides by vectors (by a row vector on the left and a column vector on the right). In bra-ket ...3 KB (595 words) - 03:11, 22 June 2017
- Requirements of student preparation: The student needs to have worked with vectors. If not the student should obtain suitable instruction in vector calculus. *'''Subject Area''': A review of vectors, vector operations, the gradient, scalar fields ,vector fields, curl, and d ...4 KB (570 words) - 07:58, 12 May 2019
- If <math>\mathbf{a}\,</math> and <math>\mathbf{b}\,</math> are vectors, The two vectors can also be subtracted from one another to give another vector ...896 bytes (138 words) - 14:04, 5 May 2019
- ...objective of this experiment is to observe the balancing forces behind the vectors formed by a 3 4 5 triangle using three weight holders on a vector table. ***Experiment by moving the third weight until the vectors have balanced and the ring is centered ...1 KB (154 words) - 16:14, 28 September 2016
- Given a pair of 2D vectors: What happens when <math>\hat u</math> and <math>\hat v</math> are unit vectors? Rotate both of them (by the same angle) until one of them equals the vecto ...4 KB (788 words) - 07:58, 4 June 2023
- ...e vector triple product is the [[../VectorProduct/|vector product]] of two vectors of which one is itself a vector product. Such as where <math>x</math> an <math>y</math> are two [[../Vectors/|scalars]]. In like manner also the vector <math> \left ( \mathbf{A} \times ...12 KB (1,901 words) - 03:50, 13 September 2020
- (2) Find the angle between the above [[../Vectors/|vectors]]. ...1 KB (178 words) - 05:09, 12 September 2020
- ...less commonly, the "scalar product", is a number associated with a pair of vectors. It figures prominently in many problems in physics, and variants of it ap ...ry and physics.) The dot product is written with a raised dot between the vectors, ...6 KB (1,148 words) - 10:47, 4 June 2023
- From the definition of a covariant [[../Vectors/|vector]] (covariant [[../Tensor/|tensor]] of rank 1) The components of cartesian basis vectors to polar basis vectors transform the same way, but now the polar coordinates have the bar ...3 KB (433 words) - 03:49, 13 September 2020
- ...objective of this experiment is to observe the balancing forces behind the vectors formed by a 3 4 5 triangle using three weight holders on a vector table. ***Experiment by moving the third weight until the vectors have balanced and the ring is centered ...1 KB (171 words) - 16:15, 28 September 2016
- ...objective of this experiment is to observe the balancing forces behind the vectors formed by a 3 4 5 triangle using three weight holders on a vector table. ***Experiment by moving the third weight until the vectors have balanced and the ring is centered ...1 KB (195 words) - 16:15, 28 September 2016
- ...objective of this experiment is to observe the balancing forces behind the vectors formed by a 3 4 5 triangle using three weight holders on a vector table. ***Experiment by moving the third weight until the vectors have balanced and the ring is centered ...1 KB (177 words) - 16:09, 28 September 2016