Planes Definition and 523 Threads

Suppose i have a plane in a cubic cell that cut across the following intercepts: x=-1, y= -5/12 z=parallel. What is the miller indices of a triangular plane located at the top left corner of this rectangular plane? Can anyone explain how to solve this? answer is not important.

Homework Statement I'm at (iii) of the question. Homework Equations The Attempt at a Solution I've got the different ans. \[ Aug= \left( {\begin{array}{cccc} 2 & -1 & 1 & 5 \\ 3 & 1 & -5 & 6 \\ \end{array} } \right) \] \[ rref= \left( {\begin{array}{cccc} 1 & 0...

So, my physics teacher has made this VERY confusing. We use vectors. But for some reason I keep wanting to think the resultant vector is the ultimate vector for magnitude and direction of force,speed acceleration w/e. But for some reason I'm not seeing that Normal force is the force that...

how do "zero g" planes work? As the title says, I'm curious about how Zero G planes work. They can't get into orbit , because there's no way they're engines could provide thrust for such speed, and they don't really leave the atmosphere. I've read that they way it's done is by simulating sort...

Homework Statement Find the parametric equation for a line of intersection of these two planes x+2y+3z=0 4x+5y+6z=5 Homework Equations Normal to plane 1= <1,2,3> Normal to plane 2= <4,5,6> The Attempt at a Solution I know the way to do this problem is to take cross product of...

a)Find the equation of the tangent plane to the graph z = x2 + 4y2 at the point (a, b, a2 + 4b2) b) For what values of a and b is the tangent plane perpendicular to the vector (3, -4, 2)? I figured you have to use the tangent plane equation z - zo = zx(a,b)(x-a) + zy(a,b)(y-b). This gave me...

Homework Statement I have a conceptual question. If there are two parallel infinite planes with charge densities of -sigma and +sigma, would the E field between them really be constant? Homework Equations E=sigma/(2*epsilon_0) (K*q_0*Q)/r^2 The Attempt at a Solution There...

Homework Statement Consider the intersection between the following two planes given in parametric form: P1 : x = [2, 4. 3] + s1[1, 2, 1] + s2[2, 5, 4] P2 : x = [1, 0, -5] + t1[3, 8, 7] + t2[2, 1, -5] Find the intersection of the two planes as a line in parametric form. Homework...

Homework Statement 1) Determine, by elimination, value of a (if any) such that the given system will have a unique solution x+2y+3z=2, 2x+2y+az=0, 3x+2y+z=0 2) Determine, by elimination, values of a (if any) such that the given system: a) Is consistent with and infinity of...

Homework Statement A 5.0 kg object revolving around a circular track in a horizontal plane at constant speed. The radius of the track is 20. meters and the centripetal force on the object is 4.0 x 10 exponent 2 Newtons 1) The objects centripetal acceleration is? 2) The objects speed...

Homework Statement a basketball player jumped straight up to grab a rebound. if she was in the air for 0.80 second how high did she jump? Homework Equations i know the time but i don't know which equation to use The Attempt at a Solution i don't know how to solve yet

I'm wondering about general info on friction and how to find it. Also equations that are related to it also. And I want to know how to draw inclined planes at an angle. Thanks!

Homework Statement Find an equation of the plane that passes through the point (-1,2,1) and contains the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 Homework Equations Equation of a plane: a(x-x0) + b(y-y0) + c(z-z0) = 0 The Attempt at a Solution n1 =...

Homework Statement In R^3, what does the pair of equations y=3 and z=5 represent? In other words, describe the set of points (x,y,z) such that y=3 and z=5. The Attempt at a Solution I drew out the individual planes y=3 and z=5. i am not sure how to describe the set of all points that...

I have that P is the tangent plane to the surface xyz=a^{3} at the point (r,s,t). I need to show that the volume of the tetrahedron, T, formed by the coordinate planes and the tangent plane to P is indepedent of the point (r,s,t). I have found that P is; \frac{x}{r} + \frac{y}{s} +...

Homework Statement Find the equation of the plane which contains the line: (x,y,z) = (3,3,-3) + t(0,-3,-3) and is parallel to the line: (x,y,z) = (4,2,0) + t (3,-2,1) Write your answer in the form 2 x + B y + C z = D, and give the values of B, C and D as your answer Homework...

for the following SC cube, find the miller indexes for the planes: FAN KFA HAN http://lh6.ggpht.com/_H4Iz7SmBrbk/SvhiU8OeicI/AAAAAAAAB8M/o8QPR2ht2gA/Capture.JPG what i leared to do was find the points that the plane intercepts the x,y,z axis, i chose axes such that x+ is pointing...

Homework Statement Kyle is flying a plane due north at 230 km/h as a wind carries it due east at 56 km/h. Find the magnitude and direction of the plane's resultant velocity analytically. 236.7 km/h (magnitude) ° (direction) Homework Equations Tan=opp/adj The Attempt at a...

I'm trying to calculate what additional force would be required if a load was to be moved up an inclined plane of 6.5 degrees instead of simply moving it laterally. My question actually relates to "turning" an object up an inclined plane but I really just want to understand the % increase in...

Homework Statement Consider two charges, +q each, placed between two grounded plates at a distance d along the z-axis from each plate. thus, the potential V(x,y,-d) = 0 and V(x,y,d) = 0 and the charges are placed at (+R/2,0,0) and (-R/2,0,0) being a distance R apart. Draw the location and...

Hi, I am trying to draw a plane that is normal to a given vector. I want to enter to the normal in polar coordinates so that I can manipulate the Theta and Phi and see how various planes cut the (111) planes in silicon crystal. Help would be much appreciated. Thanks in advance Cheers

heyy does anyone know where i can get specifications of single seater passenger planes...i need airfoil, chord length, wingspan, weight, fuselage length, distance of wings from tailplane etc...really detail...even electronics used...pleasez help?

I was wondering, when planes are flying at an altittude of 10km above sea level,, does the Earth's rotational spin affect the planes velocity? e.g. fly against rotational spin would it increase the velocity of the plane?

Homework Statement By what relation/reasoning are these two angles, theta, the same? http://img198.imageshack.us/img198/6273/inclinedplane.jpg

Homework Statement Find the vector equation for the line of intersection of the planes x + 4y - 2z = 5 and x + 3z = -5 r= (__,__,0) + t(12,__,__) Homework Equations equation of a plane= a(x-x0)+b(y-y0)+c(z-z0)= 0 The Attempt at a Solution Do I need to convert the equations...

Homework Statement http://carlodm.com/images/math1.png My question is: Isn't it possible for two planes to have one solution? Geometrically, what if their edges were touching and that was the extent of their intersection?

Homework Statement Find an equation of the plane that contains both the center and "south pole" of the sphere (x-3)^2+(y-2)^2+(z-3)^2 = 400 and is parallel to the line given in vector form by r(t) = [-43*t-82, -44*t+39, -84*t+94]. Write your answer in the form ax + by + cz = d Homework...

Homework Statement Find the plane that passes through the point (-1,2,1) and contains the line of intersection of the planes: x+y+z=2 2x-y+3z=1 The Attempt at a Solution First, I know that I need to find the line of intersection of the 2 planes. To do this, I used the cross product...

Homework Statement Suppose that |z|<1 and |z-1| < 1. Find arg(z) Homework Equations r = |z| = sqrt(x^2 + y^2) x = r cos (angl) y = r sin (angl) The Attempt at a Solution I sketched the two planes and the possible values of z lie in the intersection between the unit disc |z| <...

Hi I realize a model that requires a very fine grid in comsol, so i have reduced the DoFs using symmetry planes. My structural model has 2 symmetry planes, so i have built a quarter of the total model, but now I don't know the way to tell to comsol that the realized model is only a quarter of...

Homework Statement Two infinitely long perfectly conducting planes at x = 0 and y = 0 form a boundary on the upper right quadrant (x > 0, y > 0). A magnetic dipole m = m_x + m_y [with their corresponding unit vectors] is located at at (x', y', z' = 0) in the upper right quadrant. Find the...

Im givin these two lines.. L1= x=4+5t y=5+5t z=1-4t L2= x=4+s y=-6+8s z=7-3s What i tried doing was taking the directional vector of both lines <5 5 -4> <1 8 -3>, and crossing them to find the normal vector. I hav enough information to find 1 equation of a plane, but how can I find the...

given that two planes (non parallel) with its equations. how can we determine the equation of the line that happens to be the intersection of the two planes?

How to find (equations of) two perpendicular planes intersecting to a plane (say 3x+y+z=10) in a point (say 1,2,5 ). All the three planes are perpendicular to each other and intersecting at a single point (say (1,2,5) in this example) If possible explain it in vector form and non-vector...

I am trying to understand the behavior of bolt in different plane. My doubt is when shear force acts on bolts in 2 different plane simultaneously, does it share the shear force (F/2) or each bolts experience the total force (F). I am sure that if there is a bolt pattern on the same...

Homework Statement 2x-y-z=3 and x+2y+3z=7 Homework Equations The Attempt at a Solution Im stumped on this problem because initially i thought all i had to do was make z, or another variable zero and then just solve. However, it then turns into a nasty problem. Most of the...

urgent, intersection of two planes Homework Statement Find the equation of the intersection between 2x + 3y - 4z = 12 and 5x + 2y + 3z = 7. Homework Equations none. I don't know how to use cross products, but is there another way? The Attempt at a Solution I don't know...

Homework Statement Hi guys, I was helping a friend in grade 12 with his Linear Algebra, when I got stumped on some questions I wasn't quite to sure of. I forgot some of my old linear algebra so I need you guys to help me out:) Here's the question: 1)The two line with equations L1: r =...

this might be a dumb question , so if I roll 2 cans down a ramp one heavier than the other one they will obviously accelerate at the same rate but when they get to the flat land will the heavier one go farther because it has more mass to over come the drag or because it has more kinetic...

okay i came up with doing the gradient of the ellipsoid. Then set that equal to the vector, <4,-4,6>. I solved and got x,y,z = 1,-2,1 I looked at the answer key and it said (1/3) (1,-2,1) Does anyone know where the 1/3 came from?

Hi, I am currently doing a practice test for my final exam coming up, I am wondering anyone can double check the questions to see if i did them write, below is a picture of the questions, the answers i got are listed at the bottom, If you could, please post whether you agree with my answers...

Homework Statement 1. Find the distance betwwen the parallel palnes: a) x + y + 2z = 4 and 2x + 2y + 4z +11 = 0 b) ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 2.Find the equations of the two planes which are parallel to 2x - y + 2z = 5 and 2 unit from it Homework Equations...

Vector Planes & Orthogonality -- Help! I must be doing something really stupid, and I'll kick myself when you point it out, but I'm having difficulty with this question: Find the unit normal to the plane x + 2y – 2z = 15. What is the distance of the plane from the origin? OK, so I know I need...

Homework Statement Point A (3,2,-1) is equidistant from two planes (parallel), known as P1 and P2. P1 has the equation 2x-y+2z+4 = 0. Find the equation of P2. Homework Equations D = abs val(ax_o + by_o + cz_o + d) divided by sqrt (a^2 + b^2 + c^2) The Attempt at a Solution I...

Homework Statement i have to write this physics paper on the aerodynamics behind the flying of a paper plane. what laws are being applied to make it fly? Homework Equations The Attempt at a Solution

Hello. I've just been curious as to the answer to this question. Modern aerofoils are fine due to the geometry that allows for a pressure difference between the upper/lower surface. But as I remember WWI planes, they all have 4-5 levels of straight wings. Does that serve the same purpose? How? I...

Homework Statement How do I determine the distance between the parallel planes 2x-4y+ 2z = 5 and -2x+4y-2z= -9: ___? Homework Equations The Attempt at a Solution I got 1/4, but I think that is wrong. Any help would be great!

Homework Statement Show that the two planes are neither coincident, parallel, nor distinct. Identify, geometrically, how the planes intersect and determine the angle between the two planes to the nearest degree. \pi1: x + 2y - 4z + 7 = 0 \pi2: 2x - 2y - 5z + 10 = 0 I found the normals...

Mt Redoubt erupted 4 times last night (March 22) , resulting in plumes of fine, abrasive ash that has grounded flights in and out of Alaska...

Hi guys, I am sort of new here. So I am not pretty sure if I am to post this question in here. I am a software programmer and I need to write a class for defining a plane. I came across the plane in its normal form nx+ny+nz+d=0 I need to feed in the values of the plane from another...