Lines Definition and 1000 Threads

To find the intersection of two lines in R3, you set the lines equal, right? [a,b,c] + d[e,f,g] = [h,i,j] + k[l,m,n] Then split these into three equations, 1. a + d(e) = h + k(l) 2. b + d(f) = i + k(m) 3. c + d(g) = j + k(n) And solve for k and d, correct? If k and d are consistent...

Homework Statement This is not a HW problem. Just refreshing Tx line theory(reflections). I have a pulse of 3.3v, period 36nsecs. (Ton=18ns, Toff=18ns) with a source impedance of 50 ohms, connected to a tx line of impedance 50 ohms. The load is high impedance or infinity. So reflection at...

1. The problem statement The electric field E (arrows) is produced by a point charge. Find R in meters Homework Equations E(due to pt charge) = kq/R^2 # of field lines/unit area represents relative field strength (only statement in my notes that seems to apply to problem) The...

Homework Statement First off, this is a homework question, but an example so answer is given. need help understanding it. -Show that ht elines given by the equations below are coincident: L: 2x - y = 5 M: -4x + 2y = -10 Solution: Write each equation in slope-intercept form: L: 2x...

Homework Statement describe the set of points in space whose coordinate satisfy the given equation or pair of equations: (i) z=2y (ii) 3x=4y, z=1 if (i) or (ii) represents a line in space, give a unit vector that is parallel to the line. If (i) or (ii) represents a plane, give a unit...

Homework Statement If the pair of lines x^2-2pxy-y^2=0 and x^2-2qxy-y^2=0 are such that each pair bisects the angle between the other pair, then what is the value of pq? Homework Equations The Attempt at a Solution I don't understand what 'each pair bisects the angle between the...

Homework Statement The figure below shows the equipotential lines for a uniformly varying electric field. [PLAIN]https://wug-s.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?cc/DuPage/Phys1202/fall/homework/Ch-20-Potential/equipotential_lines/equ-lines-1.jpg A) What is the...

"Gravity Quantized" along Thiemann lines (by Lewandowski's team) http://arxiv.org/abs/1009.2445 Gravity quantized Marcin Domagala, Kristina Giesel, Wojciech Kaminski, Jerzy Lewandowski (Submitted on 13 Sep 2010) "...'but we do not have quantum gravity.' This phrase is often used when analysis...

Homework Statement A flashlight located at the origin, (0, 0, 0), shines a beam of light towards a flat mirror. The beam reflects off of the mirror at (8, 4, 1) and then passes through (10, 8, 5). What is the equation of the plane that contains the mirror? Express answer in linear form...

Yesterday I thought of a math problem, and it seems very simple, as I assume the solution is, and I want to know the answer more than I want to figure it out myself. Ok imagine point A and point B. The shortest path from A to B is a straight line. Let's now go from A to B in two orthogonal...

Homework Statement Two fishing lines hook onto one fish. The tensions in the lines are 20N and 30N, the angle between them being 30 degrees. Use a triangle of forces to find the magnitude of the resultant force of the tensions. Homework Equations cosine rule a^2 = b^2 +c^2 -2cbcos(theta)...

Suppose that a function B:\mathbb{R}^n\to\mathbb{R}^n and c:\mathbb{R}\to\mathbb{R}^n are defined such that c is differentiable, and \dot{c}(t) = B(c(t)) for all t. The question is that what must be assumed of B, so that it would become possible to prove that c(T)=c(0) with some T\neq 0?

Homework Statement Find the point of intersection of the lines: x=2t+1, y=3t+2, z=4t+3, and x=s+2, y=2s+4, z=-4s-1, and then find the plane determined by these lines. Homework Equations How do i find the plane determined by these lines? The Attempt at a Solution Ive read through...

I have seen people write that there are no such things as "field lines", but that the magnetic field is a continuum. But iron filings on a paper over a magnet will arrange on lines of the magnet's field...Is this an illusion, or are there "lines" that make up the field?...thank you

So i know the whole picture starting from power from the generating plants that go all the way to our homes..and the ground serves as a return path to complete the circuit..What i don't get is...how does that current find its way back to the source through ground?..is the source somehow...

Homework Statement Ok I have a bunch of questions, please bare with me and i'd appreciate it VERY much if you could help me with these! 1. Assume that you are given the equations of three planes. Without solving the system, describe a "test" with rationale, that you could use to determine...

Hi guys, I don't know if this question has been asked before, but I searched the forum but didn't get answer to my question. I was looking at the transition when a core electron is knocked off by energy and that an upper level electron replaces it and x ray is released. Question, why are there...

RE-EDITING POST: I had misread some of my notes. :redface:

Hi, I'm trying to get this working for a program I'm making. I've been working on this for a while, but I can't seem to figure it out. I have multiple rotated ellipses. Imagine you took a rubber band and stretched it around the ellipses. The rubber band would follow the curve of the outside...

Are accelerating lines of simultaneity correct?? This is an idea and question that I have been considering for a long time but put on hold while I sought a firmer grasp of the geometry of Minkowski spacetime graphs. My current understanding is this: Lines of simultanieity wrt inertial...

Homework Statement See first figure. Homework Equations N/A The Attempt at a Solution I think I got part a down(See second figure) but I'm confused as to how to approach part b. If it has to be parallel to line l then its going to be in the same direction as l. In other...

Homework Statement Let P be any point (except the origin) on the curve r=f(θ). If ψ is the angle between the tangent line at P and the radial line OP, show that tan(ψ)= (r/(dr/dθ)) Hint: Observe that ψ = φ - θ in the figure. Homework Equations Very few equations come to mind except y =...

Homework Statement Sketch the equipotential surfaces which result from the following charge configurations: (a) a point charge (b) a spherically symmetric charge distribution (c) a very large, plane, uniformly-charged sheet (d) a long, uniformly-charged cylinder (e) an electric dipole...

Homework Statement Sketch the equipotential surfaces which result from the following charge configurations: (a) a point charge (b) a spherically symmetric charge distribution (c) a very large, plane, uniformly-charged sheet (d) a long, uniformly-charged cylinder (e) an electric dipole...

untruncated version of question: As electrons move through a wire, is the direction of the curl of the magnetic field lines observed derivable from an underlying property? =========================== more detail (only to further clarify my question as useful): > looking for a mechanistic...

Hi I'm reading Lang's Intro to Linear Algebra Page's 30 -36 and I'd just like some input on whether I understand this or not. Basically my problem is with Planes but the parametric eq. thing is just clarification. Parametric Representation of a Line Basically, if you have two n-tuples (n=2 for...

Hi everyone, I have a question that seems simple, but I cannot come up with the right answer. Suppose you have a square with sides 2 (xrange[-1:1], yrange[-1:1]) Further suppose that there are equal number of vertical, horizontal and diagonal (exactly 45 degrees) lines of various...

------------Frames and Lines of Simultaneity---------------- Is there any difference between the two? If there is what is it?? I may be missing something obvious but as far as I can see they are just two ways of graphing and conceptualizing a singular entity. Thanks

So I'm reading "In Search of Schrödinger's Cat" by John Gribbin, a delightful and concise history of modern physics and I was reading about spectral lines and it said that the dark lines in the solar spectrum can be explained by the fact that there's a cooler cloud of element(s) X around the sun...

Hi, I am trying to get a better idea of how E-field line diagrams are drawn. The following link appears to be a nice example of field lines associated with a single charge moving linearly with constant velocity [v=0.5c]. By default, after pressing go, the animation displays the field lines for...

Hi there...I need ur help on these questions: 1) Can H2O exist as a vapor at -40oc,As a liquid? Why? 2) What would be the general nature of Constant volume lines on Phase (P-T) diagram? Both questions are from Engg. Thermodynamics-Moran,Shaprio(Things engg. think abt section) Also, does anyone...

Hi, I'm taking 3rd semester chemistry and we often have to take a series of for instance: Absorbance vs. concentrations data. Usually a series 5 experiments with the goal to have a spread sheet type answer. I use Excel or what ever I have handy just to find the y=mx + b value for "m"...

I want to write my math homework electronically. I need to make graphs, number lines and intervals, geometric/trigonometic figures, and other sorts of graphics, and I need them to align well with the problems they solve. See below 1. [Homework problem solved out step by step] [graph or...

Homework Statement Sketch the indicated traces, and the graph z = f(x,y) f(x,y) = x - 2y z = 0; z = 1; x = 0; y = 0The Attempt at a Solution z = f(x,y) = 0 = x - 2y -> y = -x/2 the trace is a line z = f(x,y) = 1 = x - 2y -> y = x-1/2 another line going through x = 1/2 z =...

so the reason why alternating current is used to deliver energy to households is because for a given wire, the voltage drop is always less with ac rather than dc right? but when i calculate the voltage drop it coumes out to be the same! v=IR R=P(length of wire)/(cross section area of wire) i...

Homework Statement State whether lines are || or perpendicular, and find the angle between the lines line A is given by the following parametric equations: x = 1 -3t y = 2 +4t z = -6 +t line B: x = 1 +2s y = 2 -2s z = -6 +s Homework Equations The Attempt at a Solution I looked at both z...

can anybody tell me why electric field of lines are tangent to direction of electric force please be fast need it urgently...

Homework Statement Find the total area of the region enclosed by the curve x = y2/3 and the lines x = y and y = -1. 2. The attempt at a solution I graphed x = y2/3 as y=x3/2 and y=-x3/2. Then I graphed the lines y=x and y=-1. I shaded the region in question, which appears off the cuff to...

I need something that I can use to draw a few simple 2D images, that don't have to look pretty. I really mean "draw" (with the mouse) and not generate from a formula, and a minimum requirement is that the program can at least let me try to draw a smooth curve with the mouse and then smooth it...

Homework Statement Let \gamma be a stright line in a surface M. Prove \gamma is a geodeisc The Attempt at a Solution In a plane we know a straight line is the shortest distance between two point. I am not sure if this applies to straight lines on a surface. Further more, there...

Homework Statement This is a question I read in an article that discusses about misconception of physics among students. they only provided the question and some of the wrong principles students suggested. Three Points , located on the vertices(vertexes) of an equilateral triangle and have...

The diagram (see attached) represents some of the energy levels for an atom of a gas. White light passes through the gas and absorption lines are observed in the spectrum. Which electron transition produces the absorption line corresponding to the lowest frequency; A. E3 to E2 B. E2 to E3 C...

How is a straight line/straight curve defined (in contexts where it is meaningful) ? I am trying to wrap my mind around this concept, but I can't understand it at all : how is straight-ness defined? is it defined ? or should I take it as an axiom, or just think about it at an intuitive level...

Homework Statement I have two lines : a,u,b,v are vectors. A=\left\{a+s*u|s \in R \right\} B = \left\{b+t * v|t \in R \right\} The two lines does not touch each other (does not meet) I need to find the closest point between the lines. Homework Equations The Attempt at a Solution I...

1. The problem statement, all variables and given/known data There are 4 vectors a,b,u,v in space and {u,v} are linearly independen The groups A={a+s*u|s E R} B = {b+t * v|t E R}are two lines in space The Two A , B lines does not meet and the "part/line/segment (I don't know how it...

can someone please help me fast? i am having trouble understanding http://www.colorado.edu/physics/2000/waves_particles/wpwaves5.html" ? here it is said that farther away from the vibrating charge the shape of the wave on the line of electric force changes? but is not the shape supposed to be...

The concrete highway bridge show in Figure Q3a is supported on columns at B and E, and abutments at A and F. The bridge has joints at C and D, which can be modeled as pins. Figure Q3b shows an idealised model of the bridge deck. Draw influence lines for: i) the shear force across joint C...

Homework Statement Find the angular coefficient of the line that is tangent to the following circumferences: (x - 17)^{2} + y^{2} = 16 x^{2} + y^{2} = 16 Homework Equations The Attempt at a Solution I tried everything but nothing is working, please help me.

Homework Statement http://img1.uploadscreenshot.com/images/orig/5/12317385174-orig.jpg" The Attempt at a Solution Points: (0, 0); ( [x/2], [x√3]/2 ); (x, 0) For points (0, 0) and ( [x/2], [x√3]/2 ) Gradient = m = {[x√3]/2 - 0}/ {[x/2] - 0} = √3 m = (y-0)/(x-0) √3 = y/x...

If a photon is detected at point B having been emitted at point A, can one deduce with near certainty that it must have traveled continuously in a straight line from A to B at velocity c?