Examples of Coordinate Systems and Equations

College
Algebra
Linear algebra
Alternate coordinate systems

Recent questions in Alternate coordinate systems

amanf 2021-01-28

Show that if u is a vector in R^{2} or R&3, then $u + (- 1) u = 0$
$u + (- 1) u = 0$

Jaden Easton 2021-01-28

The volume of the largest rectangular box which lies in the first octant with three faces in the coordinate planes and its one of the vertex in the plane $x + 2 y + 3 z = 6$ by using Lagrange multipliers.

allhvasstH 2021-01-28

Find the Equivalent Polar Equation for a given Equation with Rectangular Coordinates:
$r \cos θ = - 1$

Dottie Parra 2021-01-23

Give a correct answer for given question

(A) Argue why $(1, 0, 3), (2, 3, 1), (0, 0, 1)$ is a coordinate system ( bases ) for $R^{3}$ ?

(B) Find the coordinates of $(7, 6, 16)$ relative to the set in part (A)

aortiH 2021-01-23

To find: the distance between the lakes to the nearest mile.
Given:
(26,15) and (9,20)

Ava-May Nelson 2021-01-22

Whether the statement "If a system of two linear equations in two variables is dependent, then it has infinitely many solutions" is true or false.

texelaare 2021-01-22

Convert between the coordinate systems. Use the conversion formulas and show work. Spherical: $(8, \frac{π}{3}, \frac{π}{6})$ Change to cylindrical.

smileycellist2 2021-01-19

Let $B = {[\begin{matrix} 1 \\ - 2 \end{matrix}], [\begin{matrix} 2 \\ 1 \end{matrix}]} a n d C = {[\begin{matrix} 2 \\ 1 \end{matrix}], [\begin{matrix} 1 \\ 3 \end{matrix}]}$
be bases for $R^{2} .$ Change-of-coordinate matrix from C to B.

ossidianaZ 2021-01-06

How are triple integrals defined in cylindrical and spherical coordinates?
Why might one prefer working in one of these coordinate systems to working in rectangular coordinates?

Wotzdorfg 2021-01-02

To Sketch: The points on three - axis Cartesian coordinate system.
Point A: $[\begin{array}{ccc} - 6 & 2 & 1 \end{array}]$
Point B: $[\begin{array}{ccc} - 6 & 2 & 1 \end{array}]$
Point C: $[\begin{array}{ccc} 5 & - 3 & - 6 \end{array}]$

chillywilly12a 2020-12-30

Let A := 5 1 16 -3 [2 3 9 4 (a) Find a basis for Nul A. (b) Find a basis for Col A.

Burhan Hopper 2020-12-30

Consider the elliptical-cylindrical coordinate system (eta, psi, z), defined by $x = a \cos h η \cos ψ, y = a \sin h η \sin ψ; z = z, η G E 0, 0 L E ψ L E 2 π, z R . I n P S 6$
it was shown that this is an orthogonal coordinate system with scale factors $h_{1} = h_{2} = a {({cosh}^{2} η - \cos^{2} ψ)}^{\frac{1}{2}} .$
Determine the dual bases $(E 1, E 2, E 3), (η, η ψ, z) . S h o w t \hat{:} f = a \frac{1}{a} \frac{{({cosh}^{2} e a t - \cos^{s} ψ)}^{1}}{2} [\frac{f}{η} e 1 + \frac{f}{ψ} e 2 + \frac{f}{z} e 3, \frac{f}{w} h e r e (e 1, e 2, e 3)$ denotes the unit coordinate basis.

Yulia 2020-12-30

Since we will be using various bases and the coordinate systems they define, let's review how we translate between coordinate systems. a. Suppose that we have a basis $B = {v_{1}, v_{2}, \dots, v_{m}} f or R^{m}$ . Explain what we mean by the representation {x}g of a vector x in the coordinate system defined by B. b. If we are given the representation ${x}_{B},$ how can we recover the vector x? c. If we are given the vector x, how can we find ${x}_{B}$ ? d. Suppose that BE is a basis for R^2. If $x_{B} = [\begin{matrix} 1 \\ - 2 \end{matrix}]$ find the vector x. e. If $x = [\begin{matrix} 2 \\ - 4 \end{matrix}] f i n d x_{B}$

Emily-Jane Bray 2020-12-29

The equivalent polar coordinates for the given rectangular coordinates:
$[\begin{array}{cc} 4 & 0 \end{array}]$

usagirl007A 2020-12-29

The systems used to find the location of the point in a plane and find the rectangular and polar coordinates for the point P.

Burhan Hopper 2020-12-28

Assume that T is a linear transformation. Find the standard matrix of T.
$T = R^{2} \to R^{4} s u c h t h a t T (e_{1}) = (7, 1, 7, 1),$ .

$and T (e_{2}) = (- 8, 5, 0, 0), w h e r e e_{1} = (1, 0),$

$and e_{2} = (0, 1)$

boitshupoO 2020-12-28

How are triple integrals defined in cylindrical and spherical coor-dinates? Why might one prefer working in one of these coordinate systems to working in rectangular coordinates?

Tazmin Horton 2020-12-28

To compare and contrast: the rectangular, cylindrical and spherical coordinates systems.

usagirl007A 2020-12-28

Systems of inequalities graph the solutions set of the system if inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded. ${\begin{cases} x + y \leq 4 \\ y \geq x \end{cases}$

Jaden Easton 2020-12-24

To write: The inequalites to describe the region of a solid cylinder that lies on or below the plane $z = 8$ and on or above the disk in the xy - plane with the center at origin and radius 2.

Coordinate system examples can be met in college geometry among architects and 3D designers as they are dealing with the Euclidean space and other objectives. The solutions and answers that have been presented below will also include linear algebra for various calculations. Do not forget to look through the list of questions as these will have great coordinate system equations that will help you determine how to solve your unique problem. Start with given coordinates, provide a position of existing points, and just change your task's problem accordingly by learning from the answers provided.

Linear algebra

Understanding Coordinate Systems and Equations