Examples of Coordinate Systems and Equations

College
Algebra
Linear algebra
Alternate coordinate systems

Recent questions in Alternate coordinate systems

Marvin Mccormick 2021-02-25

The intercepts on the coordinate axes of the straight line with the given equation $4 x - 3 y = 12 .$

Dolly Robinson 2021-02-25

Determine if ${[\begin{matrix} 2 \\ - 4 \\ 1 \end{matrix}], [\begin{matrix} - 3 \\ 5 \\ - 1 \end{matrix}]}$ is a basis for
$C o l [\begin{matrix} 1 \\ - 3 \\ 1 \end{matrix}], [\begin{matrix} - 3 \\ 7 \\ - 2 \end{matrix}]$

Efan Halliday 2021-02-25

All bases considered in these are assumed to be ordered bases. In Exercise, compute the coordinate vector of v with respect to the giving basis S for V. $V i s P_{1}, S = t + 1, t - 2, v = t + 4$

Daniaal Sanchez 2021-02-21

All bases considered in these are assumed to be ordered bases. In Exercise, compute the coordinate vector of v with respect to the giving basis S for V. V is $R^{2}, S = {[\begin{matrix} 1 \\ 0 \end{matrix}] [\begin{matrix} 0 \\ 1 \end{matrix}]}, v = [\begin{matrix} 3 \\ - 2 \end{matrix}]$

Elleanor Mckenzie 2021-02-19

Given V = R, and two bases: B and C and the coordinator [v]B a) Find the change of coordinates matrix $P B \to C .$ b) Find the coordinator [v]C.

Tahmid Knox 2021-02-19

To find: The alternate solution to the exercise with the help of Lagrange Multiplier. $x + 2 y + 3 z = 6$

ringearV 2021-02-14

Let A and C be the following ordered bases of P3(t): $A = (1, 1 + t, 1 + t + t^{2}, 1 + t + t^{2} + t^{3})$
$C = (1, - t, t^{2} - t^{3})$ Find tha change of coordinate matrix $I_{C A}$

Wotzdorfg 2021-02-13

1. Show that sup ${1 - \frac{1}{n} : n \in N} = 1 {1 - \frac{1}{n} : n \in N} = \frac{1}{2}$ . If $S = {\frac{1}{n} - \frac{1}{m} : n, m \in N} S = {\frac{1}{n} - \frac{1}{m} : n, m \in N}, f \in d \in f S and \supset S . e n d {t a b \underset{―}{a} r}$

Tahmid Knox 2021-02-11

List the members of the range of the function h: $x - 5 - 2 x$ ? with domain $D = - 2, - 1, 0, 1$ .

facas9 2021-02-09

To fill: The blanck spaces in the statement " The origin in the rectangular coordinate system concedes with the ? in polar coordinates. The positive x-axis in rectangular coordinates coincides with the ? in polar coordinates".

Wierzycaz 2021-02-09

To determine:
a) Whether the statement, " The point with Cartesian coordinates $[\begin{array}{cc} - 2 & 2 \end{array}]$ has polar coordinates $[b f (2 \sqrt{2}, \frac{3 π}{4}) (2 \sqrt{2}, \frac{11 π}{4}) (2 \sqrt{2}, - \frac{5 π}{4}) and (- 2 \sqrt{2}, - \frac{π}{4})]$ " is true or false.
b) Whether the statement, " the graphs of $[r \cos θ = 4 and r \sin θ = - 2]$ intersect exactly once " is true or false.
c) Whether the statement, " the graphs of $[r = 4 and θ = \frac{π}{4}]$ intersect exactly once ", is true or false.
d) Whether the statement, " the point $[\begin{array}{cc} 3 & \frac{π}{2} \end{array}] l i e s o n t h e g r a p h o f [r = 3 \cos 2 θ]$ " is true or false.
e) Whether the statement, " the graphs of $[r = 2 \sec θ and r = 3 \csc θ]$ are lines " is true or false.

Sinead Mcgee 2021-02-08

Let $β = (x^{2} - x, x^{2} + 1, x - 1), β^{'} = (x^{2} - 2 x - 3, - 2 x^{2} + 5 x + 5, 2 x^{2} - x - 3)$ be ordered bases for $P_{2} (C) .$ Find the change of coordinate matrix Q that changes $β^{'}$ -coordinates into $β$ -coordinates.

Kyran Hudson 2021-02-08

To find: The equivalent polar equation for the given rectangular-coordinate equation.
Given:
$x^{2} + y^{2} + 8 x = 0$

Ava-May Nelson 2021-02-05

Given point P(-2, 6, 3) and vector $B = y a_{x} + (x + z) a_{y}$ , express P and B in cylindrical and spherical coordinates. Evaluate A at P in the Cartesian, cylindrical and spherical systems.

tinfoQ 2021-02-05

Provide notes on how triple integrals defined in cylindrical and spherical coordinates and the reason to prefer one of these coordinate systems to working in rectangular coordinates.

midtlinjeg 2021-02-03

Explain the difference between Alternating Direction Method of Multipliers(ADMM) and coordinate descent (CD) .

Emeli Hagan 2021-01-31

(10%) In $R^{2}$ , there are two sets of coordinate systems, represented by two distinct bases: $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ . If the equations of the same ellipse represented by the two distinct bases are described as follows, respectively: $2 (x_{1})^{2} - 4 (x_{1}) (y_{1}) + 5 (y_{1})^{2} - 36 = 0$ and $(x_{2})^{2} + 6 (y_{2})^{2} - 36 = 0.$ Find the transformation matrix between these two coordinate systems: $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

ossidianaZ 2021-01-31

(a) Find the bases and dimension for the subspace $H = {[\begin{matrix} 3 a + 6 b - c \\ 6 a - 2 b - 2 c \\ - 9 a + 5 b + 3 c \\ - 3 a + b + c \end{matrix}]; a, b, c \in R}$ (b) Let be bases for a vector space V,and suppose (i) Find the change of coordinate matrix from B toD. (ii) Find ${[x]}_{D} f or x = 3 b_{1} - 2 b_{2} + b_{3}$

BolkowN 2021-01-31

The quadratic function $y = a x^{2} + b x + c$ whose graph passes through the points (1, 4), (2, 1) and (3, 4).

sjeikdom0 2021-01-30

A line L through the origin in $R^{3}$ can be represented by parametric equations of the form x = at, y = bt, and z = ct. Use these equations to show that L is a subspase of $R R^{3}$ by showing that if $v_{1} = (x_{1}, y_{1}, z_{1}) a n d v_{2} = (x_{2}, y_{2}, z_{2})$ are points on L and k is any real number, then $k v_{1} a n d v_{1} + v_{2}$ are also points on L.

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