Planes Definition and 543 Threads

Homework Statement Find the vector equation for the line of intersection of the planes 5x−4y+z=3 and 5x+z=1 Homework Equations N/A The Attempt at a Solution I know this much. r=<__,__,0>+t<-4,__,__> Could someone explain to me what I'm actually doing? I understand how the two...

Homework Statement Find the vector and parametric equations for the line through the point P(-3, 3, -5) and the point Q(-7, 4, -1). Homework Equations N/A The Attempt at a Solution r= <__,__,-5>+t<__,__,4> The -5 and 4 are given. Heres what I have so far. r=<-3,3-5>+t<__,__,__> I...

please reply me i have a doubt. if two jet planes are flying together each producing 130 db sound. then what is the level of loudness heared by a person standing there. no other parameters are known. I have two concepts in mind ie) 1. every fundamental frequency produce hormonics and when two...

Homework Statement I'm looking at a problem where we have to draw the field lines above between and below two parallel planes going to infinity. Separated by distance D, both having equal positive surface charge density. 2. The attempt at a solution I know that there will be perpendicular...

If the line is parallel to the vector v = < -2,1,3>, what is the equation of the plane containing L and the point B = (-2,3,1) A) - x + y + z = 6 B) 3x - 2y - z = 4 C) x + 6y -11z = 5 D) x + 5y - z = 12 E) 2x + 10y - 19z = 7 I know we can get the equation of the line because we have a...

Most functions y=f(x) have tangent lines for any point x. Does a function z=f(x,y) have a tangent plane for any point x,y? And could you extend this to higher dimensions if necessary? (Tangent cubes? Tangent hypercubes?) Edit: Sorry, I thought I was posting in the General Math forum...

Dear friends, I am doing a Molecular dynamics simulations of a crystal. For this the initial configuration is FCC (face centered cubic) lattice. My problem is that I have to study the system for different orientations of the crystal i.e. (100) plane, (110) plane and (111) planes. For (100), the...

Homework Statement Surface (s) given by x^3*+5*y^2*z-z^2+x*y=0 question ask to find normal and tangent plane to S at the point P=(1,-1,0) then find vector tangential to curve of intersection of S and the plane x+z=1 at point P. Homework Equations The Attempt at a Solution So I started off...

Hey i need help with this question and i don't know wat to do after finding the normal vector of vectors a and s. And the normal vectors of vector t and b. Can someone help me please? the normal of s and a is (2,1,-3). and the normal of t and b is (-2,-1,3). is this right? Construct two...

Homework Statement In materials science right now we are learning about miller indices and crystallographic directions, including planes. What is the aspect ratio (height/width) of an AFM (atomic force microscope) silicon tip in the shape of a square pyramid where each face of the pyramid...

Homework Statement Question 1. Given position vectors OA : i+2j-k and OB: 2i+j+3k in a 3D Cartesian space with origin O of the points A and B. a) Find the scalar equation of the plane which contains A and which is perpendicular to vector AB. b) Find the shortest distance from the point...

i am to find the magnetic field between two infinite charge carrying plates, both a distance (d/2) from the x-y plane. current K=kx^. what i did was found the magnetic field of each plane with an amperian loop then added the found values. I am now wondering if it would have been better to use...

Homework Statement Given a common intersection point (3,4,5), find 3 different planes. Homework Equations None The Attempt at a Solution What I did is let a1x+a2y+a3z=a b1x+b2y+b3z=b c1x+c2y+c3z=c 3=Dx/D 4=Dy/D 5=Dz/D I set D=2, therefore Dx=6 Dy=8 Dz=10...

Homework Statement A point charge Q lies along the axis of symmetry between two half-infinite grounded conducting plates which form an angle theta (less than or equal to 90 degrees). a. What are the magnitudes and locations of the image charges? b. What is the total charge on the...

Homework Statement At ten am, a plane traveling east at 100km/hr is 500 km west of a jet traveling south at 200km/hr. At what rate is the distance between them changing at noon? Homework Equations The Attempt at a Solution 2aa' + 2bb' = 2cc' 2(300)(-100) + 2(400)(200) = (1000)c'...

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...

Homework Statement A)What is the minimum work needed to push a 1610 kg car 302 m up a 15 deg incline? Ignore friction. B) Assume the effective coefficient of friction is 0.25. (I have part A, the answer is 1.23x10^6 J)Homework Equations Force of Friction = \mu x Normal Force Work = Applied...

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 Given the shortest reciprocal lattice of fcc is (2PI/a)(+-x+-y+-z). How can i show that (111) is perpendicular to the shortest reciprocal lattice? And how to show that other planes such as (001),(010),(110) is not perpendicular to the shortest reciprocal lattice...

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?