3d Definition and 1000 Threads

Hi, In 2D I know a simple answer: vector (a,b) is orthogonal to vector (-b,a) Is there anyway similar to that to find an orthogonal vector in 3D?

Calculus III, find shortest distance, 3 dimension problem? check my answer please?? What is the shortest distance from the point P = (0, 1, 2) to the line given by l(t) = (1+t, 2-2t, 3+3t)? use distance formula d = sqrt ((x-0)^(2) + (y-1)^(2) + (z-2)^(2)) d^(2) = ((x)^(2) + (y-1)^(2) +...

Hello, apologies in advance if my questions seem rather ignorant. I'm trying my best (and struggling) to understand the topic, but my background in math is weak, and i need the math for artistic purposes. I want to iteratively move and rotate a point in 3D space (move, rotate, move, rotate...)...

In the following two problems I am trying to get a deeper intuition of, the plane has 3 variables and is 3 dimensional and the hyperplane has four variables and is 3 dimensional as well. Can someone please show me why, practically, in the context of these problems? Question with hyperplane...

Homework Statement I just saw the equation R'=RΩ (where ' is dot, or the derivative) in my notes (unorganized obviously), and can't remember what it stands for (rotation matrices?). Can somebody please tell me what this equations means thanks. I know R is some position vector and Ω is the...

Homework Statement I just saw the equation R=R'Ω (where ' is dot, or the derivative) in my notes (unorganized obviously), and can't remember what it stands for (rotation matrices?). Can somebody please tell me what this equations means thanks. I know R is some position vector and Ω is the...

Hello, this is my first topic/question, thanks for reading thus far... It is very easy to find explanations about the general path that the solar system takes when it orbits the center of our galaxy, when viewed in 2D from above, a circle around the center some distance away from that center...

Hello, If a rotation of a 2-d disk about a 1-d line can produce centrifugal gravity, is it right to infer that rotation of a 3-d volume about a 2-d plane would create gravity, observable in the 3-d volume? It is confusing to think about the direction of this gravity, if it exists...

Hi everyone, I'm trying to design a simple model by using Comsol Multiphysics. I set an inlet concentration of a species "cp" that will be adsorbed to a circular surface located at the center of the microfluidic cell (I named the concentration of adsorbed protein "cpl" ). I used laminar flow...

I'm creating a computer program and I need to see what's most efficient. I need another program [lol] that I can input 3d points in and have it create the function. the points are this v e t 100 500 3...

In a 3D plane, there is a point with it's X,Y and Z coordonates known and a second 3D plane within the first plane with it's origins X,Y and Z coordonates relative to the parent plane origin. How do I find the X,Y and Z coordonates of that point relative to the origin of the second 3D plane...

Homework Statement Use the following trial function: \Psi=e^{-(\alpha)r} to estimate the ground state energy of the central potential: V(r)=(\frac{1}{2})m(\omega^{2})r^{2} The Attempt at a Solution Normalizing the trial wave function (separating the radial and spherical part)...

Homework Statement consider the vector field v(x,y,z)=(-h(z)y,h(z)x,g(z)) wherer h:R->R and g:R—>R are differentiable .Let C be a closed curve in the horizontal plane z=z0.show that the circulation of v around C depends only on the area of the reion enclosed by C in the given plane and h(Z0)...

Hi I'm trying to balance any 3d system with various fixed weights by selecting the correct lift forces for points of lift an example system would be the following shape ( view from above , think a plane missing the right wing) where X is a point of weight and L is a lift point (also has weight)...

Orthotics are externally applied devices that modify the structure and function of muscular and skeletal systems. They help patients with a variety of conditions from fracture recovery to degenerative diseases like spina bifida. Personalised devices can take months to hand craft and be quite...

Hello, I have asked this question already but have not been able to get conclusive answer. I have a problem and please let me know if my solution is correct. I have a known point, at location A(x1,y1,z1) and the point B(x2,y2,z2) and I would like to find the coordinates of a third...

Homework Statement Hi I have a coordinate system as attached, and I want to rotate it along the y-axis in the clockwise direction as shown. For this purpose I use R = \left( {\begin{array}{*{20}c} {\cos \theta } & 0 & {\sin \theta } \\ 0 & 1 & 0 \\ { - \sin \theta } & 0 & {\cos...

Homework Statement The problem is Exercise 2 in the picture http://postimage.org/image/3ou3x1sh7/ Homework Equations The hint says: can you express and three-dimensional vector in terms of just two linearly independent vectors? The Attempt at a Solution I have no idea where...

The equation for the number of possible connections between n points on a 2D plane is (n-1)*(n/2). What is the equation for the number of possible connections between n points on a 3D plane? Is it the intregal of (n-1)*(n/2)?

"If it works in 3D, then it works in 4D" I've been watching Leonard Susskind's lectures on special relativity here. At time 0:59:40 he says, "If the vectors are Lorentz invariant, then if the first 3 components of a 4vectors are equal to the first 3 components of another vector (equation), then...

Homework Statement An electron is confined within a three-dimentional cubic region the size of an atom where L = 200 pm. a) write a wave equation for the electron b) wirte a general wave function for the possbile states of the electorn. List any quantum numbers and their possible values...

I'm not sure if this is the right forum. I'm actually trying to solve this for a computer program given shape A and shape B i'd like to rotate shape A so a given face is parallel to the nearest face of shape B http://postimage.org/image/shb6kyv6d/ attached image but i can't see it...

Howdy folks, I have been given the opportunity to do some extra credit for my mechanics class. As an assignment, my prof would like to see a 3D trajectory plotted via a program (like Python). My basic assignment is to plot the trajectory of a soccer ball after it has been kicked. I don't...

Hi All, I'm looking for help in converting 2D density (objects/area) in a circle to 3D density (objects/volume) in a sphere, the circle and sphere having the same radius and distribution of objects being uniform. To make this problem more intuitive, here's a sample application: both crabs and...

Homework Statement A 3D harmonic oscillator has the following potential: V(x,y,z) = \frac{1}{2}m( \varpi_{x}^2x^2 + \varpi_{y}^2y^2 + \varpi_{z}^2z^2) Find the energy eigenstates and energy eigenvalues for this system. The Attempt at a Solution I found the energy eigenvalue to...

Why Group 15 elements(except Nitrogen) have empty d orbitals while bonding? Aufbau Principle states that electrons are added in orbitals only in the increasing order of energy of sub-shells.Also Bohr Bury rule adds to the above principle that increasing order of energy depends on the value of...

Homework Statement Three cables are used to support a lamp that weighs 800N. Determine the force in each supporting cable when everything is at equilibrium. Homework Equations ƩF in the x-axis = 0 ƩF in the y-axis = 0 ƩF in the z-axis = 0 The Attempt at a Solution I really...

How can I plot a 3d cube with x,y,z directional vectors going through it? Mathematica or Matlab or Tikz package Latex

Homework Statement The turnbuckle is tightened until the tension in cable AB is 1.5 kN. Calculate the magnitude of the moment about point O of the force acting on point A. Homework Equations ƩMO = sqrt(Mx2 + My2 + M2) The Attempt at a Solution First I identified the...

Homework Statement Determine the angle θ between the 300-lb force and the line OC. I have attached an image of the question Homework Equations P°Q = PQcos(θ) The Attempt at a Solution I tried finding the vectors AB and OA as well as their magnitudes first O is the...

I would like to find a 3D coordinate of a point (X) on a circle, knowing two points on the circle (P1,P2) which represent the circle diameter and another point (P3) NOT on the circle but on its plane. Also known the length of the line from P2 to X, for example d. Another thing that may help, the...

Hey I have a x-ray setup as in the figure, where alpha is the angles between the incoming x-ray beam and the sample. The x-ray are scattered, and measured by a 2D detector in the two outgoing angles. From this i will get a "slice" of the 3D recipricol map. If a want a 3D map, i think i will get...

Homework Statement I am making a Klondike style solitaire game, and I am trying to load a string into a 3D array. I am representing the "Tableau" with a 3D array (we haven't gone over structs yet). I want to represent the spaces which don't have cards with the word "empty". I'm not...

Hello, The value of electric potential(∅) is known at every node in a 3d finite element mesh. The relation between electric current density(i) and electric potential(∅) is i=k.∇∅, I am writing a code in c, I want to know how to find the gradient of electric potential(∇∅) at every node so...

Hello, I know the value of a field variable in a 3d mapped finite element mesh. Can anyone suggest an effective method/methods to find its gradient throughout the mesh.

hi there, I've got three chemical reactions I'm struggling to put into 3d. 1) CoCl2.6H2O + en.2HCL --> rac-[Co(en)3]Cl3.0.5NaCl.3H2O (using NaOH and H2O2 as catalysts) 2) rac-[Co(en)3]Cl3.0.5NaCl.3H2O + (+)Tartaric acid --> [(+)Co(en)3](+)tart]Cl.5H2O 3) [(+)Co(en)3](+)tart]Cl.5H2O +...

I am sure this question has been asked many times before. I searched for a thread on this topic and could not find one. I am an artist. I am looking for an answer on the nature of sight. What is the best explanation for how sight occurs. Do we see a 3D world illuminated by 2D photons? Can we...

Hello Forum, In kinematics we study motion and the trajectories of moving bodies. The trajectory is a line (straight or curved) that joins all the positions occupied by the object in the various instants of time. A trajectory has an equation that contains only spatial coordinates (not...

Dear All, I have come across with a seemingly very simple problem but could not solve it by searching on internet and books. May be I am confused. I want to rotate a 3D body around an arbitrary axis with fixed principal axes. The solutions I found is with Euler angles (Euler rotational...

Hi everybody. Me and a friend of mine are going to be EE majors this year, so we thought we'd build a 3D printer from the very beginning. Of course we're going to have some instructors helping us out but I need some information about the whole thing before offering anyone anything! First of...

Hi all, I have a question regarding deformation analysis. For materials with non-zero Poisson's ration, when is it justified to use plane strain analysis rather than three-dimensional? Perhaps one case is when we are going to analyze a thin sheet. Are there other cases too? Thanks, Hassan

I want to do the following: Say I have 4 RegionPlot3D plots, namely A1 A2 B1 and B2. Each of those four plots are region plots so they occupies some kind of region inside the same 3d space. First I want to find and display union of A1 and A2, call it A. Then find and display union of B1...

Homework Statement A thin uniform rod is attached to an axis through its midpoint. The axis is standing on a disk rotating with constant angular speed \Omega about its symmetry axis. The rod's midpoint is located directly above the rotational axis of the disk. Let \theta denote the rod's...

Hello. I'm having a problem understanding the 3d orbitals when I'm doing electron configurations. When you fill up electrons for let's say nickel, Ni, you get the configuration: [Ar]3d8 4s2, if I'm not mistaken. But what I have read, at least I think I have, the 3d orbital gets really...

I never figured I would encounter a problem as hard as this. Basically, there are two magnets of varying strength at 2 different x, y, z coordinates. I need to come up with function(s) to graph the field in 3d space. Or, at least find the x,y,z point where the two fields cancel out (if they...

Given two points in 3D, is there a way to find the slope of that line.

I would like to find a way to get the intersection points of a circle and a sphere in 3d. The center of each and their radii are known. This needs to be a general solution so that I can move the center of the sphere in steps and find the intersection at each step. I am curious if this can be...

I'm making a 3D rotation of a poligon.The problem is when I rotate some points in 2D, it works, but if I use the same function to rotate the same points in a 3D perspective , while rotating the vertices move to the center of the object and remain there. I also wrote the 3D rendering part.At...

I am trying to find out a method of determining the area below a curve. The end points of the curve are known in cartesian space, and the curvature of the curve is known. A diagram of the curve is here, shown in the images belowthis webpage [SIZE="1"]ß must be in radians...

Hello all, I am having an issue with the splot command in gnuplot. The format of the data I am trying to plot is shown below: 3.09411 71.75663 -2.17624 3.09238 67.64099 -1.94456 3.10106 73.70542 -2.85122 3.09494 75.71568 -3.49932 3.09846 75.29150 -1.14593 My...