Three dimension Definition and 13 Threads

  1. A

    Condition for coplanarity of two lines

    So I tried to solve it this way: The equations of the lines in vector form are $$(x-2)\hat i+(y-3)\hat j+(z-4)\hat k=\lambda (\hat i+\hat j-K\hat k)$$ $$(x-1)\hat i+(y-4)\hat j+(z-5)\hat k=\mu (K\hat i+2\hat j+1\hat k)$$ Since the lines are some real multiple of the vectors, For coplanarity...
  2. Boltzman Oscillation

    Solving Schrodinger's Equation for a Particle in an Infinite Box

    Firstly, since there is no condition for the z axis in the definition of the potential can I assume that V(x,y,z) = .5mw^2z^2 when 0<x<a, 0<y<a AND -inf<z<inf? If so then drawing the potential I can see that the particle is trapped within a box with infinite height (if z is the...
  3. D

    How to find the center of mass of a cube?

    Homework Statement Find the center of mass of a homogeneous solid cube with side ##L## analytically. Homework Equations None. The Attempt at a Solution I don't understand how to find the center of mass on three dimensions. I know that since it is homogeneous, if I center the cube on the...
  4. M

    B Volume of a Cube: Definition & Explanation

    Suppose if we have a cube: The volume of the cube is the product of the length, width and the height. All this time, I've been looking at it as: To get the volume, multiply the area of the cross section of the cube by how many "layers" it has. To elaborate with the diagram given, one can see...
  5. B

    What is the Direction of A X B Using the Right Hand Rule?

    Homework Statement The direction of vectors A and B are given below for several cases. For each case, state the direction of A X B. a) A points east, B points south. b) A points east, B points straight down. c) A points straight up, B points north. d) A points straight up, B points straight...
  6. 24forChromium

    Plotting graphs in three dimension

    I have function1: x = n(cos((pi/2)-2pi/n)) and function2: y = n(sin((pi/2)-2pi/n)) my goal is to plot a graph where for the same value of n, the x and y are respectively the horizontal and vertical component of the point, this graph should preferably possible to create on a computer or a...
  7. C

    Visualizing a Parametric Equation in 3D Space

    Homework Statement Given the eqn x=2, y=sin(t), z=cos(t), draw this function in 3-space. Homework Equations ABOVE^ The Attempt at a Solution I did this: x^2+y^2+z^2=2^2+(sin(t))^2+(cos(t))^2=5 Therefore we get x^2+y^2+z^2=5 Which is the eqn of a sphere with radius root5. My friend said it's...
  8. Bassa

    Measuring Vectors: Force Exerted on Tripod Legs

    Homework Statement This is an example problem in my calculus textbook. I don't get how they relate the position vector to the force vector. I have taken a calculus based physics course and I don't remember establishing such relationship between the position and the force vectors. Note: I have...
  9. L

    How to find angle after applying Pythagorean Theorem?

    Hello, so I have a question that states (these aren't the actual measurements but they are around about the same, I can't remember the exact numbers so I made these up, this way I could apply the same to the actual numbers) an object being 4km above me, 1.4km to the north of me, and 2km to the...
  10. P

    Motion in Two or Three Dimension : Projectile motion

    Homework Statement A projectile is launched at a 60° angle above the horizontal on level ground. The change in its velocity between launch and just before landing is found to be Δv→ = v→landing _ v→launch = -20 y^ m/s . What is the initial velocity of the Projectile ? What is its final...
  11. S

    Does three Dimension realy exsist and why?

    Just wondering why everything measurable in the universe appears in 3 dimensions?(as far as I know!) And why universe build up(objects) based on three dimensions ?is that anything to do with thermodynamic(Entropy)? Cheers,
  12. K

    Determining whether three points lie on a straight line in three dimension

    Homework Statement Determine whether the points lie on straight line A(2, 4, 2) B(3, 7, -2) C(1, 3, 3) Homework Equations The Attempt at a Solution I've looked up at the equation for lines in three dimension, and it appears to be x=x_0+at y=y_0+bt z=z_0+ct i tried to take the x y z for A and...
  13. C

    Three dimension space and one dimension time means

    Can someone tell what are dimensions and what does the line "Three diemsion space and one dimension time means". please. :confused:
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