Example of 3-d coordinate system, Mathematics

Assignment Help:

Example of 3-D Coordinate System

Example: Graph x = 3 in R, R2 and R3.  

Solution

In R we consist of a single coordinate system and thus x=3 is a point in a 1-D coordinate system.  In R2 the equation x=3 tells us to graph all the points which are in the form (3, y).  This is a vertical line in a 2-D coordinate system. 

In R3 the equation X = 3 tells us to graph all the points which are in the form (3,y,z) .  If you go back and look at the coordinate plane points this is very identical to the coordinates for the yz-plane apart from this time we have x = 3 in place of x = 0.  So, in a 3-D coordinate system this is a plane which will be parallel to the yz-plane and pass via the x-axis at  x = 3

Here is the graph of x = 3 in R.

576_Example of 3-D Coordinate System 1.png

Here is the graph of  x =3 in R2.

815_Example of 3-D Coordinate System 2.png

Finally, here is the graph of x =3 in R3.

Note: We have presented this graph in two diverse styles.  On the left we have got the traditional axis system and we're employed to seeing and on the right

We have put the graph in a box.  Both of the views can be suitable on occasion to help with perspective and so we'll frequently do this with 3D graphs and sketches.

460_Example of 3-D Coordinate System 3.png


Related Discussions:- Example of 3-d coordinate system

Area related to circles, railway tunnel of radius 3.5 m and angle aob =90 f...

railway tunnel of radius 3.5 m and angle aob =90 find height of the tunnel

SYSTEMS OF ODE, Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2  2 linear s...

Problem 1 Let ~x0 = A~x and y 0 = B~y be two 2  2 linear systems of ODE. (1) Suppose that A and B have the same purely imaginary eigenvalues. Prove that these systems are topologi

Combining like terms, i don''t understand what my teacher when she talks ab...

i don''t understand what my teacher when she talks about when she talks about cosecutive integers etc... so can u help me???

Solving trig equations, Solving Trig Equations : Here we will discuss on s...

Solving Trig Equations : Here we will discuss on solving trig equations. It is something which you will be asked to do on a fairly regular basis in my class. Let's just see the

Tower of hanoi problem, a) Write  a summary  on  Tower  of  Hanoi  Probl...

a) Write  a summary  on  Tower  of  Hanoi  Problem.  How  can  it  be solved using  recursion ?                  b) Amit goes to a grocery shop and purchases grocery for Rs. 23.

How many feet huge is her dining room, Audrey measured the width of her din...

Audrey measured the width of her dining room in inches. It is 150 inches. How many feet huge is her dining room? There are 12 inches in a foot. Divide 150 by 12 to find out the

Find the quotient and remainder, Question: Find the quotient and remain...

Question: Find the quotient and remainder when f(x) = x 5 - x 4 - 4x 3 + 2x + 3 is divided by g(x) = x-2. Make sure the quotient and remainder are clearly identified.

Differentiation formulas, Differentiation Formulas : We will begin this s...

Differentiation Formulas : We will begin this section with some basic properties and formulas.  We will give the properties & formulas in this section in both "prime" notation &

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd