anonymous
  • anonymous
how to find projection of conical surface lying along z axis on the xy plane ?????????????
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jtvatsim
  • jtvatsim
Think of shining a light down the z axis. If you have a cone, and shine a light on the very top, what kind of shadow will it cast? A circle. So the projection of a conical surface lying along the z axis is a circle on the xy plane (assuming you mean that the tip of the cone is on the z axis).
anonymous
  • anonymous
|dw:1360306137675:dw|
jtvatsim
  • jtvatsim
Yep, that will be a circle shadow :)

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anonymous
  • anonymous
i m okk.with circle but want to know that if |dw:1360306291929:dw|
anonymous
  • anonymous
|dw:1360306412506:dw|
anonymous
  • anonymous
@jtvatsim help plss
anonymous
  • anonymous
@hartnn help..........
jtvatsim
  • jtvatsim
wow... not sure on that part... sorry :( anyone else got ideas?
anonymous
  • anonymous
basically i m working on conversion of cartesian to spherical coordinates????????????
anonymous
  • anonymous
@saifoo.khan help plss
anonymous
  • anonymous
@Ashleyisakitty help plss...........
anonymous
  • anonymous
any idea @Ashleyisakitty
anonymous
  • anonymous
@jim_thompson5910 ,@Luis_Rivera ......pls help any1
anonymous
  • anonymous
@rebeccaskell94 help
anonymous
  • anonymous
I'm sorry, what is the dot product of?
anonymous
  • anonymous
|dw:1360307330028:dw|
anonymous
  • anonymous
I can't understand what it says do you mind typing it out?
anonymous
  • anonymous
THETA is a constant and represents equation of cone in spherical coordinates
anonymous
  • anonymous
Are you asking for the projection of theta onto the x axis? There is no straightforward solution. in spherical polar, the conversion is x = (rho)*cos(theta)sin(phi). however, the fact that you have a unit vector for theta is confusing. The two are independent of each other. It's like comparing apples and oranges.
anonymous
  • anonymous
For a "normal cone" the equation is typically theta = pi/4 if that helps
anonymous
  • anonymous
plsss...........w8 i m clearing what i intended to ask @khoala4pham
anonymous
  • anonymous
|dw:1360307890501:dw|
anonymous
  • anonymous
|dw:1360308115075:dw|
anonymous
  • anonymous
while finding A(thetha) i m getting |dw:1360308301921:dw|
anonymous
  • anonymous
@robtobey help
anonymous
  • anonymous
Please use the equations. I have no idea what these symbols mean. If your question is what is the unit vector of theta dotted with that of x, then I have no idea. The conversion of x to theta or vice versa involves a Jacobian which is computationally tedious. They are of different coordinate systems!! The mapping of x,y,z to r,theta,phi is not straightforward. It's not simply asking what i dot j is or what j dot k is. Honestly, you are asking for help but what is the question asking? The projection of a cone onto the xy plane is any number of circles. They are inherently level curves of the cone.
anonymous
  • anonymous
see i m asking if we have to convert cartesian to spherical coordinates we need to find the A(theta) FR THATwe need projection of cone first over over the xy plane ..then its projection along x and y axis to get dot product with unit vector along x and y axis respectively.
anonymous
  • anonymous
see the case of finding A(r) it is simple the projection of line with distance r from origin on xy plane frst........that is |dw:1360308936766:dw|
anonymous
  • anonymous
@Hero plsssssssssssssssssssss answer
anonymous
  • anonymous
I don't even know what you are getting at. if you are looking for the conversion of cartesian to spherica;, x= rho*sin(phi)*cos(theta) y = rho*sin(phi)*sin(theta) z = rho*cos(phi) But the rest of your information is extremely lacking. This is some random cone in random space that can be projected in ANY way imaginable. If my light source is sufficiently far away, your projection is huge; if it's close, miniscule. There is no way to pinpoint one. You HAVE to specify at least a level curve or SOME CHARACTERISTIC of the cone. The equation theta = 1, theta = 2, theta = 3 are all cones. You are overcomplicating this problem if I am to understand correctly. Project it onto x and then onto y and take the vector sum. But you can't use spherical and cartesian at the same time! It's like calculating velocity in miles per hour and getting distance in kilometers without converting...it doesn't work.
anonymous
  • anonymous
but in my book answers are :|dw:1360309534965:dw|.................anyway thanks fr d help
anonymous
  • anonymous
I'd dare say that is incorrect. for the first unit vector, by virtue of being a unit vector, it has to be <1,0,0>, <0,1,0>, <0,0,1>. Ax and Ay (if this is your notation) is <1,0,0> and <0,1,0>. One of those two dot products MUST equal zero.

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