Lines Definition and 1000 Threads

I'm a bit uncertain about this question and would like some help, as I don't have the correct answer. Have I done this correctly? Homework Statement What is the shortest distance between the two lines A = (1,2,3) + t(0,1,1) and B = (1,1,1) + s(2,3,1) The Attempt at a Solution My...

EDIT: Sorry I made a spelling error in the title: its supposed to be Planes Homework Statement Recall that there are three coordinates planes in 3-space. A line in R3 is parallel to xy-plane, but not to any of the axes. Explain what this tells you about parametric and symmetric equations in...

Homework Statement Find the coordinates of three points on each of the following lines. a. (x+2)/3=(y-1)/2=(z+5)/(-3) x = -1 + 5t b.y = 7 + t z = 3 - 2t Homework Equations (x+2)/3=(y-1)/2=(z+5)/(-3) x = -1 + 5t y = 7 + t z = 3 - 2t The Attempt...

Homework Statement Let f be the function given by f(x) = 3e^2x and let g be the function given by g(x) = 6x^3. At what value of x do the graphs of f and g have parallel tangent lines? a. -0.701 b. -0.567 c. -0.391 d. -0.302 e. -0.258 Correct answer is c. -0.391 Homework...

I have an intuitive understanding of electric fields but when it comes to defining it on a test I wouldn't know what to say. Is the electric field defined as the force produced by a charged object on a positive test charge or any other charged object? Also if you were told to draw the electric...

Homework Statement Find an equation of a plane containing the three points (0, -4, 4), (5, -1, 1), (5, 0, 3) in which the coefficient of x is 9 Homework Equations N/A The Attempt at a Solution Totally lost on this guy. Prof didnt go over anything like this, nor tell us what the...

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...

Hello The electric field lines comes out from a positive charge towards infinity (towards the equal negative charge).. Oops ! confused again bout infinity Why is this true? Thanks

does the H field lines go from north to south, or south to north? thanks

How does computer software plot magnetic field lines where the density of lines represent flux density? How does the software know which points to start plotting from in order to come out with a true representation?

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...

How can magnetic field lines "snap"? In astronomy, magnetic field lines around stars or planets are sometimes said to "snap" and release their stored energy. e.g. the aurora borealis is created that way http://www.atoptics.co.uk/highsky/auror2.htm Also gamma ray bursts of neutron stars...

simple magnetic dipole moment with impossible field lines? clueless. Hello, I'm taking a first year university course in electromagnetism. At a certain point we came upon the torque on a current loop in a uniform magnetic field. There we introduced the magnetic dipole moment \overline{\mu} =...

Homework Statement We know that current will flow whenever there is a potential difference. Sometimes when there are problems with high voltage lines - workers must work on them 'live' (not shut down). How do the workers manage to work on the wires without getting electrocuted by the high...

hi, I'm ran into a problem while creating a Matlab GUI and I can't seem to find out why. I'm trying to get multiple lines in one static text. I set the 'max' property on 12 and then wrote the following code to test: A='a';B='b';C='c';D='d';E='e';F='f';G='g';H='h';I='i';J='j';K='k';L='l'...

Maxwell: -"The ratio of m to mu varies in different substances; but in a medium whose elasticity depend entirely upon forces acting between pairs of particles, this ratio is that of 6 to 5, and in this case E^2= Pi*m" Q1: What is this 6:5 ratio and how did he make that conclusion? Q2: What...

What I want to do is to to read the number of processes, their arrival time, and then in the next line, their bursts. Here's the file format: P1 0 12 2 21 2 12 32 18 P2 9 13 17 3 21 45 67 21 2 (1st line) Process Arrivaltime (2nd line) Bursts (3rd line) Process Arrivaltime (4th line)...

A moving electron's magnetic field lines. How do the magnetic field lines of a moving electron in a straight line look? What about the magnetic field lines of a rotating hydrogen electron? I mean the magnetic field produced due to the electron's intrinsic spin and due to its movement in a line...

Homework Statement I want to read each line separately in a char array from a text file. As yet, the best I could do is to read the entire file in a single char array. How can I read each line in a separate array? Homework Equations The Attempt at a Solution #include <stdio.h>...

"we want to calculate the heat enrgy of a gas molecule n - is the number of molecules per volume v_th - is the average speed of gas molecule L - is the distance which travels one molecule in a certain time we have six directions for which they travel +-x +-y +-z so in each time n/6 of...

Homework Statement Show that the following pairs of lines intersect. Determine the coordinates of the point of intersection. L1: r= (-3,-1) + t(3,4) L2: r= (6,2) + s(3,-2) Homework Equations ? The Attempt at a Solution I know that eventually the two lines will reach the...

Homework Statement Determine the equation of both lines that are tangent to the graph of y=x^2 +4 and pass through the point (1,-2) Homework Equations The Attempt at a Solution The derivative/slope of the tangent is 2x. But I'm not too sure what to do with this.

Help me understand exactly what is going on here. I'll put up an attempt at my solution: Find the tangent lines at the pole r = sin5o, [0,pi] (note: o represents theta) Equation: dy/dx = [f'(o)sino + f(o)coso]/[f'(o)coso - f(o)sino] f(o) = sin5o f'(o) = 5cos5o plugging everything...

Homework Statement is it possible to have a tangent line in a cubed function Homework Equations The Attempt at a Solution

HALP! I have already killed a forest trying to work this one out on paper. Homework Statement a. Use Implicit differentiation to find the equations of the horizontal tangent lines to the parametric equation: yx^3-2x^2y^2+xy^3=192. b. Use Implicit differentiation to find the equations...

[SIZE="5"]In an affine plane of order n, prove that each line contain exactly n points

Dear all, I have recently read the effects of T-duality of both closed and open strings (Zwiebach 2009, Johnson 2003) and found it very interesting indeed. However, I found it difficult to understand the concept of Wilson lines. Could someone please explain me the idea and concept of Wilson...

Homework Statement Find the point of intersection of two lines x = -9 + 5t y = 1 + t z = 10 - 4t and x = -2 -3t y = 5 + 2t z = 5 + 3t Homework Equations N/A The Attempt at a Solution I have read that you should set two of the equations equal to find the value of t, and...

Homework Statement The figure shows the interference pattern on a screen 1.0 m behind a diffraction grating. The wavelength of the light is 600 nm. How many lines per millimeter does the grating have? Homework Equations lines/mm = 1/ distance between slits The Attempt at a...

Hi, can anyone tell me, how to make the lines in a legend more legible (or larger)? When I am making a legend, the colored lines are too faint, so that I can't see what they refer to. Thank you, Juliane

I understand the concept of electric field lines but don't understand the interaction with the equipotential lines. I understand that along each equipotential line/surface that there is no change in potential energy. I also understand the field lines need to cross perpendicularly with the...

Hy Guys I want to create some lines. That lines should be created by the solution of an equation. This equation has in my limits 1 or 2 solutions. The first euation is a circle. The second is a line. lineslope, radius, lineshift1, lineshift2 is defined before. sol = Table[ NSolve[{radius^2...

1.Consider the two straight lines: 2λi+(1+4λ)j+(3-3λ)k (4+μ)i+(3+5μ)j+(-6+μ)k a) Show lines are skew when a=3. b) Find value of a for which lines intersect and state coordinates of point of intersection 2. 2λi+(1+4λ)j+(3-3λ)k=(4+μ)i+(3+5μ)j+(-6+μ)k comparing i components: (1)...

Homework Statement The number of lines from A to B if you must travel along the lines going up and right is... (there is a rectangle with that has 4 cubes going down vertically and 7 horizontally (4x7) and a is at the bottom left, be is at the top right)

Homework Statement Question: Determine the equations of both lines that are tangent to the graph of f(x) = x2 and pass through point (1,-3). Homework Equations Some of the equations that I could use for this problem are: y-y1=m(x-x1) (Point-slope Equation) the derivative of the...

I live in India . I have Three Phase Line in my Home & Single Phase Line in Office . However the rates for both Single Phase & Three Phase are the same ( Rs.2.70/unit for first 50 units , Rs. 3/unit for next 50 , Rs. 3.60/unit for next 100 , Rs. 4.20/unit for next 100 & Rs.4.70/unit thereafter )...

The magnetic field surrounding a bar-magnet (for example) is continuous. The lines that are drawn to depict the strength and direction of the field don't actually exist. They are akin to drawing contours on an OS map, are they not? What therefore explains the behaviour of iron filings when...

I'm just a little confused about field lines. I have sketches of equipotentials and I'm supposed to draw the field lines on them. The one I'm looking at is a dipole with a floating electrode in the middle of the positive and neutral charge. The positive is 12V, and the floating point is 6V...

Homework Statement Suppose T is a Mobius map take Real -> Real and infinite infinitely to 0 a) What's the image of the family of lines parallel to Real? b) What's the image of the family of lines perpendicular to Real? c) Show the Mobius map take D = {z :|z|<1} onto itself iff Tz =...

Homework Statement Give the equation of the two lines through the point (-1, 3) that are tangent to the parabola y= x^2 Homework Equations The Attempt at a Solution

OK here is the question. Find an equation of the plane that contains the lines given by (x-1)/-2 = y = z+1 and (x+1)/-2 = y-1 = z-2 This is what I did. I found 2 points for the first line and 2 points for 2nd line A= (0 , 0.5, -0.5) B=(1 , 0 , 1) C= (0, 0.5, 1.5) D= (1, 0, 1) then i...

Homework Statement Find an equation of the plane that contains the lines given by: (x-1)/-2 = y - 4 = z and (x-2)/-3 = (y-1)/4 = (z-2)/-1 The Attempt at a Solution Not too sure about how to go about it. I believe these are the parametric equations for the lines: x = 1-2t...

Homework Statement do the lines (x,y,z) = (5+2t, 3+2t,1-t) and (x,y,z) = (13-3r, 13-4r, 4-2r) intersect? If so, at what point? If not, how do we know? Homework Equations The Attempt at a Solution I just do not know where to begin... I mean what do you do with the variables t...

If the electric field at a point drops off in intensity as the inverse ratio of the square of distance from the source, how do power lines manage to carry current through such large distances?

A very simple and noob question, sorry for this. Looking at http://en.wikipedia.org/wiki/Perpendicular I found that two lines are perpendicular if and only if the product of their slopes is -1. If I have two lines described by the following equations: y = ax + b g = cx + d then...

In a uniform electric field, where 2 plates are placed horizontally and are parallel, the electric field is vertical.. What about the equipotential lines? Are they horizontal?Also, I need to draw a graph of how the Force on an electron varies with the distance from the bottom plate, and this is...

Gravitational "lines of force" for two equal point masses? Homework Statement "Sketch the gravitational "lines of forces" for two equal point masses. These are isomorphic to the electrostatic lines of force of A. Two equal "+" point charges. B. No pair of point charges separated by the same...

Hello. I am watching this video: https://www.youtube.com/watch?v=xIQtnQ9XPbE and he says there: I see that the wave turns into a "normal" sinus in the end, but it's not constant. I think, that even on an unmatched transmission line, the waves should go back and forth, but eventually...

Homework Statement Find two straight lines that are perpendicular to y=0.25x and tangent to the curve f(x) = 1/x. Homework Equations y=0.25x f(x) = 1/x. The Attempt at a Solution What I did was equate y and f(x) and determined when they equal which is 2 and -2. The points are (2, 1/2) and...