## Zela101 one year ago Vector Valued Functions: Describe the graph of the equation

1. Zela101

|dw:1443300346520:dw|

2. Zela101

@dan815

3. Zela101

|dw:1443300596235:dw|

4. dan815

hello

5. dan815

you can use t as an angle and think about it liek a polar graph

6. Zela101

|dw:1443301007077:dw|

7. dan815

or you can use t as a 3rd dimension and graph it as a 3d plot whatever u like

8. Zela101

9. dan815

both are good

10. Zela101

|dw:1443301167273:dw|

11. dan815

yes thats right

12. Zela101

Alright, thanks! I was making sure of i'm getting the concept before going ahead and begin with the other problems.

13. dan815

if u want to think in polar also one more thing to note is that

14. dan815

you are starting with the tangent vectors along this circle then u have the perpendiculars along the circle

15. dan815

<x,-y> is perpendicular to <y,x>

16. dan815

u just have a different sclaring factor on these vectors

17. Zela101

I see. Does it also apply in 3d graphs?

18. dan815

hmm

19. dan815

it would be a slightly different interprataion if t wasnt seen as the angle

20. dan815

but r'(t) should still be perpendicular to r(t)

21. Zela101

|dw:1443301651054:dw|

22. dan815

sint r(t) dot r'(t) = 0 no matter how u plot this

23. dan815

since*

24. dan815

not all r(t) dot r'|(t) = 0 ofcourse though

25. dan815

|dw:1443301819148:dw|

26. dan815

so this would be a plane with that normal direction vector

27. dan815

its a line or a curve i mean not a plane

28. Zela101

|dw:1443302036857:dw|

29. Zela101

Thanks Dan!

30. dan815

close its z=1+3(x/2)

31. dan815

but ya

32. dan815

its just that line along the plane y=-3

33. Zela101

|dw:1443302189787:dw|

34. Zela101

Lol that was a silly mistake I made

35. dan815

|dw:1443302201369:dw|

36. dan815

|dw:1443302270988:dw|

37. dan815

like that on that y=-3 plane we have this line existing

38. Zela101

And this line would be z=1+(3/2)x

39. dan815

yes

40. dan815

it looks flipped because x is positive when u go left on the planed noe

41. Zela101

Thanks again :)