Planes Definition and 523 Threads

i was wondering, how would you prove if two planes are perpendicular, analytically? don't you have to use vectors or something?

It's very hard to find any answer on the net other than the common explanation of an airfoil using Bernoulli's equations. However, I have heard many times (some on this form) that this explanation is incorrect. Jeff_Reid has said it, and if I remember correctly chroot has some input on the...

I think I understand the meaning and definition of the concepts of basis, cells, primitivecells and lattice, and so on. But could somebody please give me a short and consistent definition on crystal planes? For example on which level do you mean when you talk about these planes? Are they...

My question is very basic and fundamental... How do planes fly? I have read that the equal transit time explanation is not true... And I have read the NASA explanation, that's supposed to be true... But I really don't understand how it works even after reading... Anyone willing to help me out...

in a discussion of spacetime, i was given this example of time dilation: you have two perfectly synchronized clocks. one goes on an airplane while the other stays on the ground. the one in the plane flies around the world. when it lands, the clock on the plane is behind the clock on the...

Well I am doing a minor project on dimensions and probablity.Please friends try this out:----------- A coin of diameter d is tossed randomly onto the rectangular cartesian plane . What is the probablity that the coin does not intersect any line whose equation is of the forms :------- (a)...

Question: A weightless pulley is attached to the top of an inclined plane which makes an angle of 30degree with the horizontal.Masses A and B,each of mass 1kg,are joined by an inextensible string passing over the pulley.Neglecting frictional forces,calculate the accleration of the masses and...

Homework Statement Find 2 unit vectors u1, u2, lying in the plane, x-y+z=0, which are not parallel to each other. The Attempt at a Solution I've tried taking the unit vector of the normal vector <1,-1,1> which is <1/rad(3),-1/rad(3),1/rad(3)>, but my teacher has told me it is not in...

Homework Statement Hello, how to find the distance between two planes when given their cartesian equations? help appreciated, thanks.

Finding Volume between Two planes "Help" Ok here's the question Find the volume of the region between places x+y+2z=2 and 2x+2y+z=4 in THE FIRST QUADRANT, using rectangular coordinates. What I have done: Graphed the planes. Created x=o y=o and z=o planes to remain in first quadrant for...

Okay, so I've been working on an extended practical investigation. And I am a little stuck. Heres a brief overview: Using a ramp(always at the same angle to the horizontal), and a truck and a stopwatch, I've timed the amount of time it takes for the truck to reach the bottom of the ramp, with...

[Solved]Two planes->x+2y-2z=2 & 2x-3y+6z=3 intersect in straight line l Homework Statement Hi.I've two planes' equation x+2y-2z=2 & 2x-3y+6z=3.The planes intersect in the straight line l. The question:Find a vector equation for the line l. Homework Equations a.n=0 if they're both...

Hello,so this is prob a v v basic question but I am confused as to how one find the equation of the line of intersection of two planes:e.g. 2x + 3y + 5z = 2 & 4x + 2y + z = 11. is there just one unique solution or will the solution involve parameters??eeks :bugeye:

Homework Statement I must make a first line with the points (2,1,2) and (3,0,3) Then another line with the points (1,-1,2) and (0,1,3) Then, I must find the equation for a plane including the first line and perpendicular to the second line. It should be very easy... 2. The attempt...

How would you go about converting from a Cartesian coordinate plane to one where (0,0) is in the top left hand corner?

Homework Statement x + 4y + z = 0 4x + 13y + 7z = 0 7x + 22y + 13z = 1Homework Equations The Attempt at a Solution x + 4y + z = 0 - 3y + 3z = 0 -6y + 6z = 1 x + 4y + z = 0 -y + z = 0 -6y + 6z = 1 Then whichever way I solve it I have 0=1 or 0=1/6, so where to go...

Does the plane that intersects the cone need to be parallell to the axis of the cone to make the section a hyperbola, or is it enough that it is not parallell to a generator? If the latter is correct, can one say that a parabola is a special case of a hyperbola?

Homework Statement Given the plane x + ky + 2z - 9 = 0, find k if the plane makes an angle of 60 degrees with the plane 2x + 2y - z = 0. Homework Equations The Attempt at a Solution I'm stumped on this question. No idea of even how to start this one.

Homework Statement Find a necessary condition for the three planes given below to have a line of intersection. -x +ay+bz=0 ax-y+cz=0 bx+cy-z=0 Homework Equations in order to get a line of intersection between the planes..i know i need one line of the matrix to be [0 0 0|0]...

Consider the following diagram: All 4 orbits are inclined 30 degrees to the xy plane (I tilted the diagram a bit for clarity, so we're not looking from directly in the xy plane. The green orbit and the purple orbit are inclined 0 degrees from each other. The orange orbit is rotated...

Hello, I am trying to find the line of intersection between these two planes: P_1 = x + 2y -9z = 7 P_2 = 2x - 3y + 17z = 0 I found the direction vector needed for the line of intersection between these two points by taking the cross product of the P_1 normal vector and the P_2 normal...

A few Questions: a)when finding vector equations (for lines), what do you different when they give you a vector and a line parallel to this vector, and a vector and a line perpendicular to the vector. b)concerning planes, can someone briefly explain the normal vector. Thanks.

The general equation for a plane is ax + by + cz = k, where a, b, c, k are constants, and the plane is satisfied by points (x,y,z). If a specific plane contains both points (2, 1, 3) and (2, 1, 5), what is the value of c? The answer is supposed to be c = 0, but I don't know how to get there...

Another terrific set of pictures by everyone involved. Well done! This will be another tough contest to vote on. 1. GeoMike http://www.mcschell.com/cog.jpg 2. larkspur http://home.comcast.net/~larkspur2020/soaring.JPG 3. Janus...

Help! Hi everyone, This is my very first post on physics forum! I was wondering if anyone could help explain to me how to find the coordinates of a point where a line intersects a plane. The question I'm trying to do has given the line as r= (2, 7, -5) + t(1, 2, -1) and the...

If a car is going up or down an inclined plane, the normal force on the car is just mg cos (theta). However, if a car is turning on an inclined curve, the normal force is mg/cos(theta). Why are the two normal forces not the same? To clarify, here is an example problem: A highway curve...

http://politics.guardian.co.uk/terrorism/story/0,,1841149,00.html im shour the good old US of A is also going to feel the stress, with no coffee on planes (no liquids) and flights into or out of UK Biged up Security at airports my boss was going out today, he aint in a good mood! ps...

so I've been doing review and I got stuck on two questions, I was wondering if anyone could help me out. Any help would be appericiated - whether it's a hint on what my first step should be or what's the final answer to confirm whether I'm right or wrong :) 1. Find the scalar equation of...

The problem from Differential Geometry: Let \gamma : R -> R is smooth function and U = {(x,y,z) \in R^3 : x \ne 0} - open subset. Function f : U -> R is defined as f(x,y,z) = z - x\gamma(y/x) and this is smooth function. Proof that for surfaceS = f^{-1}(0) all tangent planes passing...

I'm working on a lab report on powder X-ray diffraction off of some relatively straight-forward crystals (Si, NaCl, CsCl) for an introductary course on modern physics. I thought it would be useful to include a partial derivation of the formula relating the distance between parallel planes, d...

Hello, here is the question. Two masses, 4.0 kg and 6.0 kg, are connected by a “massless” rope over a “frictionless” pulley as pictured in the diagram. The ramp is inclined at 30.0º and the coefficient of kinetic friction on the ramp is 0.18...

"Find the points on the surface 4x^2+5y^2+5z^2=1 at which the tangent plane is parallel to the plane 4x-37-1z=-2" Im very lost when it comes to this problem. I know that if the planes are parallel, the normal vectors will be parallel. So I think I need to multiply plane (4x-37-1z=-2)'s...

Consider two infinite parallel planes of charge, one in the yz plane and the other at distance x = a. (a) Find the potential everywhere in space when V = 0 at x = 0 if the planes carry equal positive charge densities + σ. (b) Repeat the problem with charge densities equal and opposite, and the...

Hello, I am a little confused on how to prove these half planes are convex, and my book does not actually show an example. ---------- So here is a problem, my book briefly talks about it: Show that the plane 2x - 3y >= 6 is convex. So if we let A = (2,-3), and X = (x,y), then we can write...

there are two planes: 3x+y+z=1 3x+z=0 find a vector U with positive first coordinate that is parallel to both planes. the way I went about solving this: the normal vectors are: <3,1,1> and <3,0,1>, the cross product of the vectors will give a vector perpendicular to the normal, which...

Have a question from materials science class: Using appropriate sketches determine the direction of the intersection of the following planes: (110) and (101) do I need to actually draw out these planes, then find 2 vectors for each. take the cross product, then use the lines perpindicular...

Hello. I need some help with the following problem: Find the component of u if u is perpendicular to the plane x- 3y + 4z =0 and the magnitude of u is 3. My work: Some vector v is on the plane v = 1i – 3j + 4k so then the dot product of u and v = 0 Now I’m stuck and don’t...

Consider the Earth's orbit around the sun to be in a plane A and the moon's orbit around the Earth to be in a plane B. How do these planes intersect? Are they parallel or perpendicular? At what angle do they intersect themselves? Does the angle stay the same, or does it vary.

What's the easiest way to make up two equations of a plane that intersect at a line?

hi all I am struggling to on these types of questions ill post here 1. find the equation of the plane containing the points A(-1,2,1) B(0,2,3) and C(4,-1,2) i tried to plot this on a x,y,z and maybe i rearranged to get formula n=CA * CB but its wrong heh no idea how to do this anyone can...

Just when I thought I understood the concept of planes and miller indices, I got stuck on a 'test your understanding' Q in my book. I can't understand that there can be two or more (110) planes in a crystal lattice? I thought there can be only one such plane. The question asks me to find the...

Consider the line which passes through the point P(-3, -4, 3), and which is parallel to the line x=1+6t, y=2+4t,z=3+1t Find the point of intersection of this new line with each of the coordinate planes: xy-plane:(_,_,_) yz-plane:(_,_,_) yz-plane:(_,_,_) to find xy-plane, I am...

Hello, can anyone help me with this problem? Find an equation of the plane through P (3,3,1) that is perpendicular to the planes x +y = 2z and 2x +z =10 Thanks

Hi, first poster here. I'm stuck on a question in first-year University Maths. I'll put down what I know where I've done it. Question: Consider these linear equations: x + 2y - z = 2 2x + y + 3z = 5 x + 5y - 6z = 1 for the planes P1, P2 and P3 respectively. (a) Using Gaussian...

Well, I'm doing homework (again). I was introduced to homogeneous systems of planes and then asked why there must be at least 1 intersection point. The book gives very little (one sentence) on homogeneous systems so I tried to search around online. My guess is that since all of the...

I have been working on these two problems for a while now and I can't seem to come up with the right procedure to take them on: 1) Find the plane through the origin and parallel to the plane 2x - y + 3z = 1 * I thought this could be solved by taking the vector of the parallel plane...

Hi, Sometimes when a jet plane is flying above you you can see the white tail from the motors, and sometimes not. What is the reason for this? Why isn´t this visible all the time? regards t.

Hi, I suppose my question has to do with planes in general, rather than just tangent planes. Say you have a plane given by the equation z=\frac{\partial f}{\partial x}(x)+\frac{\partial f}{\partial y}(y). How would you find the equation of the plane perpendicular to this one? Thanks...

Hello I'm a grade 12 math student at WCI and I need some help with planes. As I understand it planes are 2D sections of grid. 2D sections of grid can't exist in real space because they have no thickness. How can anyone need to use something that has no thickness, why can we ever imagine it.

How do I find the line of intersection of two planes? I have an idea, but both of the planes have a -2z ie. Plane 1: 10x-4y-2z=4 Plane 2: 14x+7y-2z If I set them both equal to each other, I lose the z part. So, is there some other way to solve this, or am I missing something? Thanks!