PaulinePar 2 years ago Hi .. im Pauline Jane M. Par a second year college student of Southern Luzon State University .. Taking up Bachelor of Science in Mathematics Minor in Statistics. I want to know if you have an additional information about the three dimensional space? Thank you.

1. geerky42

2. sirm3d

uy, pinoy. yebah.

3. Xavier

What experience do you have with it?

4. PaulinePar

Yes Google does geerky42. can you all guys help me?

5. geerky42

6. PaulinePar

Just as points in 2 space can be placed in one to one correspondence with pairs of real numbers using two perpendicular coordinate lines, so points in 3 space can be placed in one to one correspondence with triples of real numbers by using three mutually perpendicular coordinate line called x-axis, the y-axis and z-axis. Am i right?

7. Xavier

Well you can just say it's a tuple (x,y,z) where x, y and z are real numbers. If you want to know more about it and particularly how to manipulate objects in it try multivariable calculus. It will take you from vectors, and planes in n-space to evaluating line and surface integrals. It deals mostly with 3-space

8. PaulinePar

So, am i right that in three dimensional space we are using right handed?

9. sirm3d

saan sa luzon yang university?

10. Xavier

The cartesian coordinate system usually used in 3-space is a right handed triple. But you often have other basis

11. PaulinePar

The set of points with three positive coordinates forms the first octant. And why is it that the remaining octant have no standard numbering?

12. Xavier

What do you mean standard numbering. It's just like with quadrants in the x-y plane.

13. sirm3d

only the region is space where x,y,z>0 is baptized "first octant"

14. PaulinePar

Thank you :)) and what are the difference between the rectangular, sphere and cylindrical surfaces in 3 space?

15. sirm3d

sa rectangular system, ang first component ay distance from the x-axis, and second component ay distance sa y-axis, at ang third component ay distance sa z-axis. so, "rectangles" and maform sa bawat plane.

16. sirm3d

|dw:1361687731287:dw|

17. PaulinePar

How do we graph a rectangular coordinate in three space? Can you graph it for me ?

18. sirm3d

|dw:1361687872664:dw| marunong ka magtagalog?

19. PaulinePar

And also how to graph a sphere in 3 dimensional space. Thank you :))

20. sirm3d

Are you a foreign student residing in Quezon, @PaulinePar ?

21. PaulinePar

No im not :)) Pilipino po ako .. i just want to enhance my skills sa pagsasalita ng English po.. So, can we continue our conversation about this topic? Thanks for all your response ..

22. sirm3d

okay. can you help him answer this question? http://openstudy.com/study#/updates/5129b72fe4b02acc415ccd8a

23. sirm3d

consider the rectangular point in space P(5, -2, 3)|dw:1361688611129:dw|

24. PaulinePar

For the graph of the sphere? i'll take my time to think my idea regarding your question..

25. sirm3d

are you interested in the sphere, or locating a point in space using spherical coordinate system?

26. PaulinePar

Yes. can you do it for me? Am i right that the standard equation of the sphere is the same as the standard equation of a circle in 2 space, but with an additional term to account for the third coordinate?

27. sirm3d

yes, you are right. it's \[(x-x_0)^2 + (y-y_0)^2 + (z-z_0)^2 = r^2\] a sphere with radius r>0 and center at ((x0, y0, z0)

28. PaulinePar

Thank you :)) Can you make a graph for me ?

29. sirm3d

|dw:1361689809924:dw|

30. PaulinePar

if k>0, then the graph of this equation is a sphere with center (x0,y0,z0) and radius sqrt of k . Am i right?

31. sirm3d

|dw:1361689884293:dw|

32. sirm3d

if you are refering to the equation (x-xo)^2 + (y-yo)^2 + (z-zo)^2 = k > 0, then yes, you are right, the radius is r=sqrt(k)

33. PaulinePar

Yes. then if k=0, then the sphere has a radius zero, so that graph is the single point (x0,y0,z0) ? Am i also right ?

34. sirm3d

if you need a software to view curves in space and surfaces, you may want to use this software free from microsoft. 32-bit windows application: http://download.microsoft.com/download/F/7/6/F76E0187-07B5-4958-B3FF-2E5ACD53B637/MSetup_x86.exe 64-bit-application: http://download.microsoft.com/download/F/7/6/F76E0187-07B5-4958-B3FF-2E5ACD53B637/MSetup_x64.exe

35. sirm3d

yes, similar to a point circle in analytic geometry.

36. PaulinePar

Thank you for that. but i also need the opinion and knowledge of others like you because it is my project in school .. So, can we continue this?

37. PaulinePar

So, then if \[k <0\], the equation is not satisfied by any values of x,y and z (why?) so it has no graph. Right sirm3d?

38. sirm3d

right again, similar to a degenerate circle if k<0 in nalytic geometry.

39. PaulinePar

Thank you. And am i Right that it is also possible to graph equations in two variables in 3 space ? and that is a cylindrical surface?

40. sirm3d

again, the answer is yes. it will be the curve in the plane involving the two variables, retraced in each plane parallel to the starting plane.

41. sirm3d

you can add me in your "friend list" by becoming my fan. in this way, you'll be notified if i go online and offline.

42. PaulinePar

Ow. Nice also @sirm3d :)) So the process of generating a plane curve parallel to some line is called extrusion? Right?

43. sirm3d

i have to check a mathematics dictionary. i'm not into terminologies.

44. PaulinePar

I already add you @sirm3d .. Thank you :))

45. PaulinePar

Are you a student also or what ?

46. PaulinePar

Ok. check it and correct me if im wrong.

47. sirm3d

finished my studies.

48. sirm3d

i think the word was taken from a manufacturing process of creating objects with fixed cross-sectional profile.

49. PaulinePar

what course?

50. sirm3d

pareho po tayo

51. PaulinePar

That's Good to hear :)) You can help me now. Where you from sir?

52. sirm3d

zambales po

53. sirm3d

what help do you seek, madam? hihi

54. sirm3d

pasyal po muna kasama ang pamilya. walang pasok bukas.