Planes Definition and 543 Threads

Homework Statement Find the acute angle between the planes Ax+By+Cz=D and Ex+Fy+Gz=H Homework Equations The Attempt at a Solution I have no idea

Homework Statement There's a pulley at the apex of an isosceles triangle, with a particle hanging from the string at each side (plane). Would the tension in this string be the same in this situation? Homework Equations The Attempt at a Solution

Homework Statement True or False: The intersection of two planes in R3 is always a line. The Attempt at a Solution I'm pretty sure that this statement is true because two planes can only be parallel, or they must intersect in a line because the are infinate. But I have no ideas on...

Given the parametric representation of two planes, through points P and Q respectively x = P + \alpha u + \beta v y = Q + a w + b z Or, alternately, with u \wedge v = A, and w \wedge z = B x \wedge A = P \wedge A y \wedge B = Q \wedge B It's easy enough to find...

I'm still not confident with these kinds of problems. Hopefully I got it right, but can someone double check my work? Thanks! Two parallel, infinite planes are separated by a distance d. Find the electric field everywhere (a) if both planes carry a surface charge density \sigma and (b)...

Homework Statement Two large plane parallel conducting plates are connected by a wire and are a distance D apart in a vacuum. A point charge +q is placed in the space between them and a disstance b (<D) from one of them. What proportion of the charge +q is induced on each of the two plates...

Homework Statement A woman pushes her 150kg motorcycle up a slope of 5 degrees with a constant speed of 2 m/s. She achieves this by exerting a force on the bike of 450N parallel to the slope. What is the magnitude of the frictional force acting on the bike? Homework Equations a=...

Our Milky Way is a spiral galaxy whose ecliptic plane is the same with the ecliptic of the Sun (or nearly). So do you think all other solar systems in the Milky Way also have the same characteristics?

I thought this might be a fun post (as this is my first) I want to know what others think about the existence of alternate , parralel universes'. Don't flame me...this is supposed to be fun ;)

Homework Statement I have to find volume of tetrahedron that is bounded between 4 planes. Planes are x+y+z-1=0 x-y-1=0 x-z-1=0 z-2=0Homework Equations \vec{a}=\vec{AB}=(X2-X1)\vec{i}+(y2-y1)\vec{j}+(z2-z1)\vec{k} \vec{b}=\vec{AC}=(X2-X1)\vec{i}+(y2-y1)\vec{j}+(z2-z1)\vec{k}...

Ok, I'm pretty much at whit's end trying to figure this review question out. Apparently my teacher forgot to mention that our book couldn't teach us everything we need to know for our test... Anyhow, the question is as follows, and I'm utterly at a loss as to what the answer is: Find the...

one type of aeroplane has a maximum acceleration on the ground of 3.5ms-2 a)for how many seconds must it accellerare along a runway in order to reach its take-off speed of 115ms-1? b) what is the minimum length of runway needed for it to reach this length? ummm, not entirely sure av...

i want the formula of Angles Between crystal Planes by knowning the information of Miller Indices of that planes? please help me

Homework Statement A skier of mass 70.0kg is pulled up a slope by a motor-driven cable. (a) How much work is required to pull him a distance of 60.0m up a 30.0 degree slope (assumed frictionless) at a constant speed of 2.00m/s? Given: \Delta r = 60m \theta = 30^\circ Mass...

Homework Statement Two planes r_1 and r_2 have the equations: r_1 = ( 1 - \lambda ) \underline{i} + ( 2 \lambda + \mu ) \underline{j} + ( \mu - 1 ) \underline{k} r_2 = ( s - t ) \underline{i} + ( 2s - 3 ) \underline{j} + ( t ) \underline{k} If a point lies in both r_1 and r_2 then...

so, for the very specific cases of linear systems i can identify what shape it will be after determining the eigenvalues, but i really do not know how to go about sketching the phase planes. can someone give me a method?

Hi everyone I hope I have the correct category for these questions! (I'm new to the forums). Anyways I'm currently in college studying to become a video game programmer, I've never taken physics before and I was doing fine in my course until we have started learning about Lines and Planes in 3D...

Homework Statement In this question, Earth is a plane described by the equation x + y + z = 18. Earth will be destroyed by an explosion that occurs at the point A = (1, 1, 1), also known as the “armageddon point”. It so happens that the school (considered as a point) will be the first...

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...

Homework Statement Suppose a uniform electric field of magnitude 115.0 N/C exists in a region of space. How far apart are a pair of equipotential surfaces whose potentials differ by 2.0 V? Homework Equations 1 N/C = 1 V/m The Attempt at a Solution I know 115.0 N/C is the same...

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...