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

Probability, Ratio of successes in 5 independent trials to the probability ...

Ratio of successes in 5 independent trials to the probability of successes in two independent trials is 1/4. What is the probability of 4 successes in 6 independent trials?

Proof integral function, Proof of: if f(x) > g(x) for a x b th...

Proof of: if f(x) > g(x) for a x b then a ∫ b  f(x) dx > g(x). Because we get f(x) ≥ g(x) then we knows that f(x) - g(x) ≥ 0 on a ≤ x ≤ b and therefore by Prop

What is the new price of the coat, An $80.00 coat is marked down 20%. It do...

An $80.00 coat is marked down 20%. It does not sell, so the shop owner marks it down an additional 15%. What is the new price of the coat? Find out 20 percent of the original p

Graph all four vectors on similar axis system, The vector a → =(2,4) compu...

The vector a → =(2,4) compute 3a → , ½ a → and -2a → . Graph all four vectors on similar axis system. Solution: Now here are the three scalar Multiplication 3a → = (6,

Geometry, a figure is made of a rectangle and an isosceles right triangle. ...

a figure is made of a rectangle and an isosceles right triangle. the rectangle has sides of 6 in. and 3 in. one of the short sides of the rectangle is also one of the legs of the r

Which expression below is equal to 5, Which expression below is equal to 5?...

Which expression below is equal to 5? The correct order of operations must be used here. PEMDAS tells you in which you should do the operations in the subsequent order: Pare

Geometry, what is the product of the solutions to the equation: x2+4x=-4

what is the product of the solutions to the equation: x2+4x=-4

Solid mensuration, The two sides of a triangle are 17 cm and 28 cm long, an...

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to

Find out the value of the subsequent summation, Using the formulas and prop...

Using the formulas and properties from above find out the value of the subsequent summation. c The first thing that we require to do here is square out the stuff being summe

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