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

Saddle point-game theory, Saddle Point This point in a pay off matrix i...

Saddle Point This point in a pay off matrix is one which is the largest value in its column and the smallest value in its row. This is also termed as equilibrium point in the t

Kara brought $23 with her when she went shopping, Kara brought $23 with her...

Kara brought $23 with her when she went shopping. She spent $3.27 for lunch and $14.98 on a shirt. How much money does she have left? The two items that Kara bought must be sub

Solve the form x2 + bx - c, Solve the form x 2 + bx - c ? This tutori...

Solve the form x 2 + bx - c ? This tutorial will help you factor quadratics that look something like this: x 2 + 11x - 12 (No lead coefficient; positive middle coeffic

Derivative and differentiation, Derivative and Differentiation The pro...

Derivative and Differentiation The process of acquiring the derivative of a function or slope or gradient is referred to as differentiation or derivation. The derivative is de

Finding the equation of a line, Finding the Equation of a line, Given a Slo...

Finding the Equation of a line, Given a Slope and a Point ? Find the equation of a line with slope m = 2, which passes through the point (-1, -3). Solution: Use the po

Congruence of triangle, make an assignment based on congruence of triangle

make an assignment based on congruence of triangle

Example of graphical technique of linear equations, Explain the Graphical T...

Explain the Graphical Technique of Linear Equations by using this figure.

By the method of completion of squares solve equation, By the method of com...

By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans:    4 x 2 +3 x +5=0 ⇒  x 2 + 3/4 x + 5 = 0 ⇒   x 2 + 3/4 x +

Definition of concavity, Definition 1: Given the function f (x ) then 1...

Definition 1: Given the function f (x ) then 1. f ( x ) is concave up in an interval I if all tangents to the curve on I are below the graph of f ( x ) . 2. f ( x ) is conca

Correlation and regression, Correlation and Regression Correlation ...

Correlation and Regression Correlation CORRELATION is an important statistical concept which refers to association or interrelationship among variables. The reasons of

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