3d Definition and 1000 Threads

Homework Statement Give an example of a vector perpendicular to [6,2,3] that has the same length.Homework Equations Distance formula between two points on a 3D plane: Sqrt[(X1-X2)2 + (Y1-Y2)2 + (Z1-Z2)2]The Attempt at a Solution In 2D space, the perpendicular vector of [X,Y] is [-Y,X]...

Hi, Let's think about 4 points A,B,C,D. I need to locate the points in 3D Cartesian coordinates provided the following parameters are given about the point: 1] Distance between A and B. 2] Distance between B and C 3] The angle between A B and C. 4] The angle between B C and D. 5] The...

Hey all, I'm sure this is simple, but I can't seem to find the answer in the Maple help section. When drawing 3D shapes, I want to be able to up the number of dots used to constitute the image, thus increase the resolution of the object. My spheres are showing up a bit boxy...

Homework Statement a) Find the shortest distance between the surface A: (x+2)^2+(y-3)^2+(z-5)^2=9 and the line that passes by the points P0:(9,8,10) and P1:(16,6,14). b)Find the coordinates of a point on the line and a point on the surface that are nearest to each other. Homework...

I watched Avatar in Real3D and IMAX 3D. This is the first 3D movie I have seen at the theater. However, it was also clear that this 3D technology has a fair bit of room for improvement. Specifically what I noticed was that the perceived images have a bit of ghosting in them. This is most...

General Relativity explains that every single piece of mass alters the space-time fabric, creating a curve. But since we live on a three-dimensional universe shouldn't the curvature alter the fabric in every dimension, creating some kind of weird closed curve that might look as a bubble around...

Homework Statement Parameterise the circle whose diameter is the line joining (1,0,0) and (0,0,1) and which lies in the plane x+y+z=1Homework Equations 1. Let N be a unit normal vector for the plane. 2. Let C be the circle center, and let R be the radius. 3. Let U be a unit vector from C...

http://img204.imageshack.us/img204/7130/screenshotxe.png Hi, I was given this online assignment and this was one question I could not get. I know that two parallel lines parallel if their normal vectors' are scalar multiples of each other. And that if solving for t and s with two equations...

There are two circles in the plane, their radii are 2 and 5. It is known that they have EXACTLY ONE common point. List all possible values of the distance between their centers. okay, i know if two circles touch by one point their center distance can be 7 but it says all possible valueS. I...

I was reading this story on CNN about how ESPN is starting to develop and implement 3D programming. http://www.cnn.com/2010/TECH/01/05/espn.3d/index.html It seems like an obvious step with the 3D movies out. However, besides the fact you'll need to buy a new TV, you will also need those 3D...

Is there a 3D space where the ratio of a circles circumference, C, to its radius, R, is C/R = 4*pi ? In two dimensions I can imagine a 2D surface that I think would work. In cylindrical coordinates let a surface be defined by z(r,theta) = A*r*sin(n*theta) For given integer n we can...

Hello, sorry for my Englich:D Homework Statement I must count a line integral on the length which lies on the line which is defined by equations: \begin{cases}x^2+y^2+z^2=R^2\\ \left(x-\frac{R}{2}\right)^2+y^2=\left(\frac{R}{2}\right)^2\end{cases} it is a column which is cutting a sphere...

f(x,y)=\frac{(x+y)}{(y/100+x/50)} how can i plot this function with MATLAB in the region restricted between y=-2x and x=0 lines? i wanted to plot that the second region of the cartesian coordinate x=-1:0.1:0; y=-2*x+eps , eps is very small [X,Y]=meshgrid(x,y); z=(X+Y)./(X/100+Y/50); surf(z)...

we want to see avatar 3d, but my mom has monovision. will the 3d not work for her?

I want to know this information, I am going to study autocad, my friends are telling to learn how to do 2d and then go for 3d , what is so special in 3d AUTOCAD drawings, anyone here in this forum can explain it.

When my kids asked me how these work, I said "that's easy - the lenses are circularly polarized filters, right for the right eye, left for left eye (or possibly vice-versa)" Indeed that is what Wikipedia says: http://en.wikipedia.org/wiki/3-D_film#Polarization_systems But some simple...

Hi, I was looking through a pair of 3D movie glasses (the polarised sort) while looking at my lcd monitor. I was confused by a couple of things: - When I tilt the glasses 45 degrees from horizontal, the image in both lenses turned blue, and when i tilted the glasses 45 degrees from...

Im looking to find some type of equation that i can plug numbers into for making a number of different sized 2-D pentagrams out of sheetmetal?

It was pretty cool to stumble upon Euler's formula as the eigenvalues of the rotation matrix. det(Rot - kI) = (cos t - k)2 + sin2t =k2-2(cos t)k + cos2t + sin2t =k2-2(cos t)k + 1 k = {2cos t +/- \sqrt{4cos^2(t) - 4}}/2 k = cos t +/- \sqrt{cos^2(t) - 1} k = cos t +/- \sqrt{cos^2(t) - cos^2t -...

Say string theory is wrong and there are no extra space dimensions. How does a small, say well above the Plank scale, piece of space have all the freedom of the standard model? It seems string theory gives a nice geometrical picture for a bunch physics. Maybe its just neat idea and wrong, if so...

I'm so stuck on this problem. I got it completely wrong on my test because I don't even know where to start. All i recall is that we mus use the vector approach? The problem states: For the figure shown, calculate the reactions at point O due to the tensions in the two cables BA and BC...

I have problems in understanding what RECIPROCAL VECTORS are... I know the formulas regarding it but don't know their geometric meaning is... How do you represent them in a 3D spcace ?

I am trying to simulate a 3D particle simulation, where there are a 1000 particles of random x,y,z postn varying area between 2 n 4, and mass... There are different forces acting on each particles, Force due to heat, wind, and gravity, we calc acceleration from that, after which change in...

Hi, I have two questions, 1. I am reading the book 'Solid State Physics', 1976, by Aschcroft and Mermin. I am reading chapter II about 'The Sommerfeld Theory of Metals'. (I hope anyone here have the same book..) I found it hard to figure out one integral on the equation (2.30) on...

Hallo. I am new at forum, could please somebody send me a code for fluid dynamic in 3D written in Scilab, mathematica or Fortran. I will use it to start with learning!b Thaks, JG

The schrodinger equation in 3D (time independent). Letting Phi = X(x).Y(y).Z(z), and solving as a PDE... The equation looks pretty much the same except there is a separate Hamiltonian for each of the Cartesian coordinates x y z. However, the 1/X(x) term etc. really confuses me, I don't...

Hi. In 3 dimensional Euclidean space with the usual metric, d=[(delta x)^2+(delta y)^2+(delta z)^2]^1/2, I'm trying to figure out the average distance between nearest neighbors in a randomly distributed sample of particles. My best initial guess for the average distance from any given particle...

Homework Statement A projectile of mass 1 kg is launched from ground level toward the east at 200 metres per second, at an angle of pi/6 to the horizontal. A northerly win applies a force of 2 Newtons to the projectile. Find the location of the projectile and its speed at impact. Homework...

Cannon and proyectile trajectory with data dislayed in real time. Can adjust mass, drag, friction, elasticity, etc. Check it out free at: http://escxsoft.com/FrmPhysica.aspx

Hello, I am writing a small report and trying to be mathematically accurate in my terminology- I am trying to describe an arbitrary volume of gas, but this volume must (1) not have any holes (or bubbles where the gas cannot go) in it, and (2) must be one single volume, so a gas molecule from...

Just some mount ago I saw 3D movies first time and I was pretty amazed. By googling I could not fully understand how such effect is done, why do I have this feeling that things are closer or further away and I could look around them.

Hi been trying to graph a parameterised 3D function in maple 11. My problem is that I have two constant terms that satisfy there own condition. That is, simplified, I need to draw: x(t)= (a/b)*sin(b*t) y(t)= (a/b)*cos(b*t) z(t)= a*t*sin(b*t) subject to (a^2)+(b^2)=1. Any ideas how...

3d hologram in vacuum ... help please ? hi everyone I am a software engineer and i want to make a project based on laser or light and don't know a lot in laser (almost nothing), so i will discuss the project i want to do and i will ask some questions about it please? I want to make 3d...

Hi ,Given 3 points A[x1,y1,z1], B[x2,y2,z2] and C, and given the distance between B and C is known and the angle ABC is supplied. How do we ascertain the coordinates of the point C ? I can calculate the dot product using the angle, by defining vectors BC and AC and then use the distance formula...

Homework Statement Consider a quantum particle of mass m in a 3-D harnonic potential with frequency \omega and it experiences a perturbation H_{1}=az^{2} a. Determine the effect of H_{1} on the 1st exicted level of the system ( at the 1st order perturbation) b. what happen to L^{2} and...

I'm trying to look how the formula made on this http://www.gamedev.net/reference/programming/features/quatcam/page2.asp" . I want to know how this formula was derived. I tried to look on Quaternions and Rotation Sequences book but they use sin/cos which is so different on this. N.w = a.w*b.w...

Hi how to find 3D point(lie on line) on the 3D line with given distance and from given 3D point(this is also lie in line) where the given line equation Please explain the derivation

Homework Statement Find the magnitude and direction of the following vectors. C = -2 i - 9 j + 4 k I found that the magnitude was 10. By using the square root of (4+9+4). I don't know how to find: Angle from +z-axis and the direction in xy plane counter clockwise from the +x...

Say I'm given a random 3-dimensional vector, pointing from the origin. How can I find the angle it forms with a plane defined by two other vectors?

hi all, i need some help about modeling a coil on maxwell 3D(transient analysys.).my problem is defining coil terminals.i have 6 coils(star connected) and 3 current source(star connected).i attached my work.coils are solenoid style winded.(ring style winding) and each coil has 130 turn.i...

Fist, this is for a personal project of mine, I've been out of school for some time, and all my old math skills seem to have abandoned me. For that reason, and because I have to translate anything I learn into functions compatible with c#'s math library, it'd probably be best to keep any answers...

Suppose that I have three 3d vectors, pq, pr, and v, where v is the cross product of pq and pr. I want to fill the triangle formed by these three vectors, as shown in the picture. But I'm having difficulties finding the right command doing so, I've tried the polygonplot and apparently it...

Hello, given a vector x=(a,b) in 2D, and considering another vector obtained by shifting cyclically the coordinates of x, we get x'=(b,a). It is straightforward to prove that x and x' are simply the reflection of each other on the line k(1,1). Now let's suppose we are in 3D space. Given a...

Homework Statement Find the critical points of the function f(x, y) = sinx + siny + cos(x+y) where 0<=x<=pi/4 and 0<=y<=pi/4 Homework Equations First and second order partial derivative of f(x, y) The Attempt at a Solution To find the critical points, I first find the first...

Homework Statement So I have a physics problem which I can't do (I am in ap physics c by the way). I only need help with the idea as I cannot find anyway to do the free body diagram. So the question is "A crate slides down an inclined right-angled trough. The coefficient of kinetic friction...

Anyone here can recommend me a book that teaches on how to use mathematics like Integration, and Differentiation? I found one but it just use Linear Algebra which is so common in most books. Gamedev.net's users said that it is use in physics and animation, how can I do that? I don't get how it...

Please, I found this (the 4 lobe object in the center): http://www.physics.utoronto.ca/lecture-and-seminar-series/colloquium/events/tsuei.jpg But is it the same throughout the z axis, or does it vary significantly?

So this first question http://tinypic.com/view.php?pic=2qls4s4&s=4 I figured out F1 X,Y,Z but for F2 I cannot seem to figure it out at all, it seems impossible. I can only figure out the Y axis but not the X and Z, any ideas?

I am trying to code a java applet to give a physical representation of an EM wave, and how it will react in a resonant cavity. However, I am having a very hard time finding a good physical representation of what an EM wave actually looks like. For example, If I take a 2 meter wave, place it...

Problem: Applied Partial Differential Equations (Richard Heberman) 4ed. #12.3.6 Consider the three dimensional wave equation \partial^{2}u/\partial t^2 = c^2\nabla^2 u Assume the solution is spherically symetric, so that \nabla^2 u =...