Lines Definition and 1000 Threads

For example. L1: x = 11+3t y = 7+t z = 9+2t L2: x=-6+4t y=-2+3t z=-7+5t I was given this problem, and technically these lines don't intersect, right?

Homework Statement Determine whether r1 and r2 collide or intersect: r1(t) = <t^2 + 3 , t + 1 , 6t^-1 > r2(t) = <4t , 2t -2 , t^2 - 7> I am completely lost in this problem and was hoping for a just a hint at where to begin. I'm unsure what it even means if two lines collide or...

Homework Statement How many tangent lines to the curve y = x / (x + 1) pass through the point (1,2)? At which points do these tangent lines touch the curve? Homework Equations n/a The Attempt at a Solution I'm completely drawing a blank on this one. Help.

Homework Statement Comment on the electric field lines of a pair of finite parallel plates (a) between the plates and (b) near the edges of the plates. Homework Equations The Attempt at a Solution

Homework Statement Why are electric field lines also referred to as "lines of force"?

Im just trying to figure something out here. Iv been working on some spectra stuff. Now, when I look at a gas, I see the spectra, but if I turn up the intesnsity, new lines appear? Where do these lines come from, as I am looking at the same game, just turned up intensity?

Imagine an electron in uniform motion moving at a speed near the speed of light. Pictures I've seen of the electric field around such a charge look like this one from wikipedia: The field lines are straight, but clustering around the plane perpendicular to the direction of motion...

Homework Statement Prove that a(s) is a straight line if and only if its tangent lines are all parallel. Homework Equations Frenet serret theorem The Attempt at a Solution I'm confused on the direction "if the tangent lines are parallel then a(s) is a straight line". Assume all the...

I got a question that has a charged ring, with two lines of charge that intersect it. So it looks like a circle with a cross in it. I am asked to give the electric field. Would it just be the sum of each of the electric field from each part? So Etotal= Ering + Eline + Eline

given two lines x=s(1,2,1) and x=(960)+t(0,1,-1) how would i go about finding a vector that intersects both lines and then finding another line parallel to that vector? help would be much appreciated

A circle with diameter 90 is located at (70,100). A given point O is at (0,0). There is a line from O to the circle at point A, line OA. Line BT is parallel to OA at a distance 50 from OA and is a tangent to the circle. How do I find the coordinates A and B? I'm having problems drawing...

Homework Statement Consider the plane z = x + 2y and the cylinder x^2 + y^2 = 1 (a) Find a vector function r(t) describing their intersection. (b) Find the points if any where the tangent to ~r is horizontal (c) Find an equation for the tangent line to ~r at each of these points.Homework...

If you saw his lectures, you will love it ;)

Downed power line kills 3 in San Bernardino I wonder if there's a special place in hell for those that make puns at the expense of people dying in a horrible accident.

I want to verify the theory of TEM mode tx lines how the signal travel. Please correct me if I am wrong. This mainly refer to stripline, microstrip( assume TEM) etc. 1) The signal is transmited as EM wave through the dielectric between the two lines, not actually current through the...

Hi there, Could you describe for me what happens to the equipotential lines of two charges as they move close to each other. Thanks

Homework Statement 4) In the above figure, the horizontal axis is x measures in meters, the vertical axis is t measured in meters (SR units!) a) For the pairs of events AB, AC, CB, determine the metric distance between them. b) For each pair answer whether the first member of the pair...

The argument I've heard following from Special Relativity is as follows: Assume a causal influence can travel faster than c in a given reference frame, and assume it starts at Event A and is the cause of Event B a short time later (Events A and B are also at different points in space). This...

Homework Statement what is the relation between complex slopes of two perpendicular lines?? :think: Homework Equations The Attempt at a Solution i think it is same as the slopes of two st. lines that is the product shud be -1...but the answer given is sum of slopes is 0...

Homework Statement Consider the curve x^2+xy+y^2=27 Homework Equations Find all points on the curve where the lines tangent to the curve are vertical The Attempt at a Solution I found dy/dy = (-2x-y)/x+2y) and I think I found the equations of lines visually to be x=6 and x=-6...

In the field of microwave engineering, skin effect is referred to when people talk about the fact that current, that is, electrons only flows on the surface of transmission lines, e.g. microstrip lines. I've checked many EM books--everywhere skin effect is demonstrated with both E and H...

Why do reflections occur in transmission lines. Why does the wave travel back from the load?

Homework Statement I have 2 doubts- 1)The equation of the plane containing the line 2x+z-4=0=2y+z and passing through the point (2,1,-1) is? 2)Find the angle between the lines (x-2)/3 = (y+1)/-2, z=2 and (x-1)/1 = (2y+3)/3 = (z+5)/2 The Attempt at a Solution 1)How do I interpret...

"Transmission lines are specialized cables and other media designed to carry alternating current and electromagnetic waves of high frequency (radio frequency or higher), high enough that its wave nature must be taken into account. Transmission lines are used for purposes such as connecting...

When I have an infinite solenoid , The b field lines point straight up the solenoid and the field is zero outside. But i thought that the field lines have to wrap back around on themselves. Does this not apply in this example . Or am i crazy?

If a time varying magnetic field of infinite dimensions crosses a plane at right angles what can we expect induced electric field lines to look like? Straight lines with direction determined by the right hand rule?

Curious as to whether there's a formula for calculating the shape of the magnetic field lines, including electro magnets (solenoids). I want to create a 3D graphical display for the magnetic field lines of magnets.

Consider the D1 and D2 transitions (3p --> 3s) of the sodium atom (Z = 11). How to calculate the magnetic field experienced by the valence electron arising from its orbital motion, given that the wavelength difference between the D lines? The formula that I have from lecture notes for...

I would like to know if Transposition on Transmission Lines could affect the basis and the way the power system is evaluated to set up the protection for the Transmission line? as compared to the non-transposed Transmission Lines. Thanks in advance, Regards,

Find equations of the tangent lines to the curve y=(lnx)/x at the points (1,0) and (e,1/e) . Illustrate by graphing the curve and its tangent lines. i found that the derivative is 1-lnx/x^2 what do i do next? thanks

Homework Statement Find the distance between the two lines. b) L1: (2,1,0)+t[1,1,2]^T and L2: (2,3,-1)+t[-1,1,-3] Homework Equations see below at my attempt. The Attempt at a Solution I assume that I can't use the distance formula because these lines are not parallel? Is that a...

If a source which has internal impedance 20 ohms is connected to multiple transmission lines of impedance somewhat equal to 20 ohms, which vary in length(maybe from 1" thru 8"). How do I analyze the reflections/draw the bounce diagrams. According to a patent -...

Hi, I have a basic understanding of electrical wiring from when I was in school, and have a question that I have always wondered about that I hope someone could answer. My electrician mate tells me for household wiring its important for active and neutral wires not to be mixed up. That...

Homework Statement Find the equations for the two tangent line on the graph f(x) = - (x-3)^2 - 4 through the point (2,5)Homework Equations The Attempt at a Solution I already solved for f '(x) which is -2x +6. Then I plug in 2 for f '(x) in order to find the slope, which is 2. Using the...

Well basically, the title sums my question. When you look at a light bulb (generally works on incandescent bulbs) you can see rays coming from a few directions out from the light, it generally doesn't work on fluorescent light to my knowledge and i would like to know what causes you to see the...

Hi, I am in calculus and am having major struggles. If someone could provide a walk through on how to answer these questions, that would be fantastic. Cheers! Let f(x)=−3x+6 if x<-3 = 15 if x > -3 Find the average rate of change of f(x) on the interval −5<x<5 . The average rate of...

Given the following two skew lines: L1: (0, 4, -3) + s(-1, 1, 3) L2: (1, 2, 5) + t(-3, 2, 5) Find the shortest distance. MY WORK:: Cross-product of the lines (-1, 1, 3) X (-3, 2, 5) = (-1, -4, 1) with length 3*sqrt(2) Vector between the points (0, 4, -3) - (1, 2, 5) = (-1, 2, -8)...

Homework Statement You want to get an idea of the magnitude of magnetic fields produced by overhead power lines. You estimate that a transmission wire is about 25 m above the ground. The local power company tells you that the line operates a 12 kV and provide a maximum of 47 MW to the local...

Homework Statement Is it possible that there are two different tangent lines to this function that are perpendicular to each other? If so, find the equations of the two lines and show that they are tangent to ƒ(x) and perpendicular to each other. If not, show why it is not possible...

Hello PhysicsForums.com! I've got several sets of data that are all intended to represent the same ideal data set. I need to fit a regression to said sets of data - but have no idea of how to go about it. All multiple-regression literature I can find reads to the tune of: given...

Homework Statement A typical power station produces 1000MW of electrical energy. Seven percent of the power is lost in a 500kV transmission line. Whats the lines resistance? Homework Equations P=I2R The Attempt at a Solution Thought this problem was simple but I keep getting it wrong. P=I2R...

gradient vectors and tangent lines! If f(x, y) = xy, find the gradient vector f(3, 7) and use it to find the tangent line to the level curve f(x, y) = 21 at the point (3, 7). I already found the gradient vector to be <7, 3>, Maybe I am missing something obvious, but I have no clue how to...

Homework Statement Where does the graph of 25x^2 + 16y^2 + 200x - 160y + 400 = 0 have a horizontal tangent line. Homework Equations dy/dx dx/dy or something not sure. The Attempt at a Solution Well I know that a horizontal tangent line would mean the slope is zero...but what...

find all vertical tangent lines of a curve - more than one variable! curve : xy^2 - x^3y = 6 derivative : (3x^2y - y^2) / (2xy - x^3) question : find the x coordinate of each point on the curve where the tangent line is vertical. after some consideration, i decided that when the derivative...

Homework Statement I was given this assignment for homework, and got it wrong, but now I'm studying for the first exam, and I still can't find out where I went awry. The problem is: A charge per unit length λ = +8.00 μC/m is uniformly distributed along the positive y-axis from y = 0 to y = +a...

Homework Statement Find the equation of the plane that contains the lines, x = 2s + 2 y = 3s - 4 z = -5s + 2 and x = 4t + 3 y = 6t + -4 z = -10t + 5 Homework Equations The Attempt at a Solution One can quickly note that the two lines are parallel to...

Homework Statement Ok, I think i got it, but can you all tell me if these are the right/proper steps I must do? Determine the point of intersection of the following pair of lines: 3x - 7y = 8 2x + 4y = -12 Now, first step is the use the 2nd equation and turn the 2nd equation into...

Now this might seem like a really stupid question but I'm just a high school student so please bear with me. I've been studying about magnetic fields and my teacher says (everyone does in fact) that in a magnetic field, the magnetic field lines start from the north pole and end in the south...

My (high school, gah!) textbook gives an experiment: I take a straight current carrying conductor, a cardboard sheet is placed perpendicular to the conductor, so that the conductor passes straight through the sheet, remains perpendicular. Then I use a salt sprinkler to sprinkle iron filings on...

Homework Statement Find the equations of the normal lines to the surfaces at the given points. z=(3/4)x^2+3y^2 @ pt. (2,1) 2. The attempt at a solution I have already found the equation of the tangent plane and know it is correct. Tangent plane => (z-6)=3(x-2)+6(y-1) Now, I am confused...