Lines Definition and 1000 Threads

Homework Statement Two coplanar lines l1 and l2 are perpendicular to each other, l1 passes through the points (-3,2,3) and (-8,10,6). Find the equation for l2 if it passes through the point (7,49,25) Homework Equations The Attempt at a Solution determine the equation of l1 and use...

Is the width of spectral emission/absorption lines stretched in either cosmological or doppler redshift?

Homework Statement Two coplanar lines, a and b are perpendicular to each other. a passes through the points (3,2,3) and (8,10,6). Find the equation for b if it passes through the point (7,49,25).Homework Equations The equation were trying to find is r = [x,y,z] + s [x1,y1,z1] + t [x2,y2,z2] The...

A microprocessor with 12 bit address bus will be able to access how many kilobytes of memory ?? 2^12 = 4096 = 4 kB of memory Is it right ? Thanks.

Homework Statement Two coplanar lines, a and b are perpendicular to each other. a passes through the points (3,2,3) and (8,10,6). Find the equation for b if it passes through the point (7,49,25). Homework Equations The equation were trying to find is r = [x,y,z] + s [x1,y1,z1] + t...

Hey all, I am plotting some data using MATLAB and have a question. Basically, this is what I'm trying to do. I am calling a bunch of data from Excel, plotting this data in MATLAB (it gives me two lines), and then calculating the polyfit values for each line so I can find the equation y = mx...

When a completely ionized atom of hydrogen captures an electron, the latter may conceivably cascade toward the nucleus by jumping successively from one permitted orbit to the next. If we could watch the light emitted by this single atom, to what lines of the complete hydrogen spectrum will the...

Ok, Please correct me if I'm wrong; Flux lines are a sort of mathematical visualisation of magnetic fields, they do not exist. As such, there still exists a magnetic field between flux lines (?), just in calculations we use flux lines because they are simpler (?). In voltage transformers...

I had an occasion to hook up a piece of open ended coax to a network analyzer. I know the wire has some pF per foot but I expected it to be linear over inches but it wasn't. In other words instead of 5 inches = 5X the pF per foot, the capacitance rises sharply near the end of the coax. Any idea why?

Hello, a beginners question here. Can someone please tell me why transmission lines use two wires instead of just one ?

Homework Statement I have 2 parametric vector equations (of a line) r(t) = (2,-4,4) + t(1,-3,4) s(t) = (1,-1,0) + t(2,-1,1) how do i find the coordinates for which they intersect each other? The answers is (1,-1,0) Homework Equations x=a+λv, for some λ in ℝ (parametric vector...

Hello all, The standard meter was said to be the distance between two scratches on a platinum iridium bar. http://en.wikipedia.org/wiki/Metre Where are these scratches? I only see the bar.

Homework Statement I am given the equation for the potential of an arbitrary dipole. I need to draw the electric field lines for this dipole in a plane, and also show that these lines are perpendicular to the equipotential lines. I have already derived the equation for the electric field using...

Homework Statement I am given the equation for the potential of an arbitrary dipole. I need to draw the electric field lines for this dipole in a plane, and also show that these lines are perpendicular to the equipotential lines. I have already derived the equation for the electric field using...

I posted several questions on Galilean and Minkowskian spacetime on this forum lately, but I just don't seem to be able to get a real grip on things. I noticed that the core of my problems mostly arise from the definition of world lines. Therefore I tried formulating a definition of them in both...

I am trying to make a software to calculate electric field near transmission lines. When I checked it I got one awkward looking result. At any point near the Transmission line, I guess the time average (or net) Electric Field should be 0. Why should it have any preference on a value and hence...

Hello, everyone. Let's say I have two rectangles, j and k, having areas J and K, respectively, such that area J is less than area K. For clarity's sake, I will set each rectangle on the x-axis of a separate graph. Now, I begin to "smash" each rectangle into the x-axis. The area of each...

Homework Statement Suppose L1 and L2 are skew lines. Is it possible for a non-zero vector to be perpendicular to both L1 and L2? Give reasons for your answers. Homework Equations I know that skew lines are not parallel or intersect. Also, they don't lie on the same plane. The Attempt...

given the lines in space L1 : x = 2t + 1, y = 3t + 2, z = 4t + 3 L2 : x = s + 2, y = 2s + 4, z = -4s – 1 Find the point of intersection of L1 and L2. How do i solve this?

Homework Statement Find the point of intersection of the lines r(t)=< 2t+1, 3t+2, 4t+3> and x=s+2 y=2s+4 z=-4s-1 Then, find the plane determined by these lines. Homework Equations Intersection is when points meet. So, just equating x,y, and z variables will yield the point of...

Hey all, Between two devices, I will need to have a coaxial line (with SMA connections on either end) connecting them. The operating frequency of the signal I am propagating is approximately 125 MHz. With this said, the wavelength (assuming ideal) is 2.4 meters. I have heard from numerous...

Homework Statement The lines in a grating are uniformly spaced at 1530 nm. Calculate the angular separation of the second order bright fringes between light of wavelength 600 nm and 603.11 nm. Answer in __mrad Homework Equations Theta = sin-1 ((m*lambda*2)/(d)) The Attempt at a...

Homework Statement Find the equations of all the lines through the origin that are tangent to the curve y = (some complicated cubic function) I looked up the question in google and found a much simpler example, y = x^2 passing through (1,-1). However, I don't even get what's going on...

Hey everyone, First I'd like to say my thanks to the community for all the information I managed to glean while lurking on the forum and doing my schoolwork over the last year or so. It's been an invaluable resource to me! Now, on to my question. (I see that it says not to post homework...

Homework Statement Find equations of both the tangent lines to the ellipse x2 + 4y2 = 36 that pass through the point (12, 3). Homework Equations The equation of an ellipse is x2/a2 + y2/b2 = 1. I converted the given equation to x2/36 + y2/9 = 1 by dividing each value by 36. The...

Does Kaluza Klein theory allow one to think of the electric field lines of a point charge or a dipole differently. Is there any insight as to the nature of those field lines? Thanks for any help!

Homework Statement Find the co-ordinates of all points on the curve f(x)= x3 whose tangent lines pass through the point (a,0) Homework Equations f '(x) = nxn-1 The Attempt at a Solution I am really not sure how to attack this question. My initial thoughts are to find f '(x) then...

Given the mathematical expression of an electric field, how to find its field lines?

Homework Statement Hey we have started solids of revolutions using disk, washer, and shell methods. But I came across a problem i cannot figure out. "The region of the graph of y=x^2 and the x-axis, for 0<x<2, rotated about the line y=4. Homework Equations Area of a circle = ∏r^2...

Homework Statement Consider the line L(t)=<1+5t, 3+t>. Then L intersects: 1. The x-axis at the point (-14,0) when t= -3 2. the y-axis at the point (0, 14/5) when t=(-1/5) 3. the parabola y=x^2 at the points ____ and ____ when t=____ and ____. Homework Equations y=x^2...

Homework Statement Determine if the lines r1=<1+2s,3+2s,2-2s> and r2=<2+t,6-t,-2+t> are parallel, intersecting, or skew. If they intersect, find the point of intersection. Homework Equations x: 1+2s=2+t y: 3+2s=6-t z: 2-2s=-2+t The Attempt at a Solution I set the components of...

Homework Statement If the distance of any point (x,y) from the origin is defined as d (x, y) = max {|x|,|y|}, d (x, y) = a non zero constant, then the locus is (a) a circle (b) a straight line (c) a square (d) a triangle Homework Equations The Attempt at a Solution I don't...

Homework Statement http://www.xtremepapers.com/Edexcel/Advanced%20Level/Mathematics/Subject%20Sorted/C3/Elmwood%20Papers/Elmwood%20B.pdf Question 8(b) Homework Equations The Attempt at a Solution Ok so I found both values of dy/dx for BOTH EQUATIONS y = x2 - 4x → 2x - 4 y = |4x - x2| →...

The site http://physics.nist.gov/PhysRefData/Handbook/Tables/hydrogentable3.htm shows the intensity of various photon energy values from hydrogen. I was not able to see how this intensity was observed (ie. was it from a specific experiment, or does one simply look at the sun and count photons...

The Following data table provides information about a crate of radishes that is sliding down the ramp of a delivery truck time position 0 ------ 0 2------ 0.6 4-------2.4 6------- 5.4 8------- 9.6 10------ 15Next it asks you to draw a position time graph, which i did, and its identical...

Finding Lines "a" & "b" through Integration Homework Statement Let f be the function given by f(x)=4cosx a) This one I figured out. b) Find the numbers a and b such that the lines x=a and x=b divide the region R into three regions with equal area. Homework Equations ∫4cos(x)dx=4sin(x) +...

hi i wanted to make sure that i understood the concept of lecher lines... first i wanted to know, whether it is necessary, if you want to observe standing waves, that the length has to be adjusted, so that there are current nodes at the open end, that is not connected by a wire.? further, my...

Homework Statement Let f(x)= a (7-x^2) for all a does not equal 0 a) Find, in terms of a, the equations of the lines tangent to these curves at x=-1 b) Find, in terms of a, the y-intercepts of the tangent lines at x=-1 c) find the x-intercepts of the tangent lines at x=-1 d)find, in terms...

best book for "Electromagnetic Theory & Transmission Lines" We've this subject of "electromagnetic theory and transmission lines" this semester..and i wanted to know which books deal the content properly ...mastering this topic may require that one cool book (and ofcourse, regular effort)...and...

Can we have E and B field lines from 2 different sources cross. I don't think we can because then a charged particle traveling through the field would have 2 possible paths after reaching the intersection point. But then what if we have induced E fields and other sources. But IM guessing that...

Homework Statement The curve C has equation y = ln3x and crosses the x-axis at point (p,0) The normal to the curve at the point Q with x-co-ordinate of q passes through the origin Show that x=q is a solution of the equation x2 + ln3x = 0 Homework Equations The Attempt at a Solution...

Ok, it's clear to me that waveguides are for sending EM waves from one place to another (e.g. TEM, TE, TM modes). But what about TLs? I've seen them described as carrying AC signals (V or I) but also EM waves, e.g. TEM waves in coax cable. What gives? Does one imply the existence of the...

Homework Statement Suppose that stress fractures appear in railway lines according to a Poisson process at a rate of 2 per month. a)Find the probability that the 4th stress fracture on the railway line occurred 3 months after the process of checking the new railway lines. b)Suppose new...

Homework Statement i was given two parametric equations of two lines in R^3 and asks me to find the isometry between one line and the other knowing that point (a,b,c) of first line is mapped in point (a',b',c') of second line. Homework Equations What i have to find is a 3x3 matrix which...

I was given this equation as the lines of electric fields of a dipole(two opposite charges separated by a finite distance) e=(1/r^3)*((3cos^2(theta)-1)^2 +sin^2(2theta))^0.5 and I was asked to plot it. I guess it must be something like this: but when I try to plot it in wolframalpha.com in...

1. Homework Statement (a) If f and g are differentiable functions on the interval [a,b] with f(a)=g(a) and f(b)=g(b), prove that at some point in the interval [a,b], f and g have parallel tangent lines. (b) Prove that the result of part a holds if the assumptions f(a)=g(a) and f(b)=g(b) are...

Hy everyone! I want to include this two lines: m,n m+n=k but only in the bottom of the sumatory. Is that possible? Thanks in advance for the help!

Having trouble with this: Given an ellipse (x^2/a^2) + (y^2/b^2) = , a!=b. Find the equation of the set of all points from which the two tangents to the curve are perpendicular. I tried finding the slope of the equation then knowing that perpendicular line are the opposite reciprocal. But...

Homework Statement (a) If f and g are differentiable functions on the interval [a,b] with f(a)=g(a) and f(b)=g(b), prove that at some point in the interval [a,b], f and g have parallel tangent lines. (b) Prove that the result of part a holds if the assumptions f(a)=g(a) and f(b)=g(b) are...

Homework Statement The spectroscopic observation of an interstellar gas cloud shows emission lines H (λ=6563 A), Hβ λ=4862 A) e OI (λ=1304 A), each one with a gaussian profile of the kind: g(\nu)=A e^[-\frac{(\nu-\nu_0)^2}{2\sigma^2}] Per Hα si osserva σ_{Hα} = 1.2 \times 10^{10} Hz...