Straight line Definition and 239 Threads

This is a fiction project, but the question is about 3D geometry (a bit beyond my HS math skills). Given two points on a sphere (oh say, hypothetically, the Earth), draw a line from point A through the Earth to Point B. If I were to stand on point A and point directly at point B, what...

Mod note: Moved from a technical forum section, so missing the homework template. I am analysing the data from my undergrad experiment, which the aim is to find the Plank's constant by scattering x-ray off NaCl crystal and using Braggs law. The straight-line equation is as follows...

There is a graph in the form of $x^2-2x-3$ determine the value of $\sqrt{3}$ to the nearest decimal place by drawing an a suitable straight line What must be that straight line ? Usually these kind of problems are solved using the quadratic equation Many thanks :)

Homework Statement Find the angle between the straight lines: ##(x^2+y^2)(\cos^2{\theta} \sin^2{\alpha} + \sin^2{\theta})=(x \tan{\theta} - y \sin{\alpha})^2## Homework Equations [Not applicable] The Attempt at a Solution Dividing by ##x^2##, ## (1+(\frac{y}{x})^2)(\cos^2{\theta}...

Homework Statement I am doing a distance HND and need to find the ideal straight line of a sensor output. The sensor is a temperature sensor with an OHM output. From a temperature range of 0-250 it has an output of 120-364ohm. temp output 0 = 120 50 =...

Am I forgetting some critical basic knowledge? It says: In the plane (identified by R^2) a linear equation ax+by=c is a straight line. If b=0 then this straight line is parallel with the y-axis; in the other case it is a straight line with slope -a/b. A (2 by 2)-system linear equation. Why is...

If the torsion of the straight line is undefined what happens with the information about the torsion? It is known (https://en.wikipedia.org/wiki/Quantum_no-deleting_theorem, http://van.physics.illinois.edu/qa/listing.php?id=24045) that the information conserved in a system can be nor created...

Homework Statement If two vertex of a square of the side AB is A(1,2) and B(2,4) find other two vertex C and D? Homework Equations 1. y-y1 = m ( x-x1) 2. m=y1-y2 / x1-x2 3. m1*m2= -1 4. (x-x1) / (x1-x2) =(y-y1)/(y1-y2) 5. m=tanA 6. If ax+by+c=0 then its parallel line is ax+by+k=0 The Attempt...

A particle, moving in a straight line, passes through a fixed point O with a velocity of $8 m s^{-1}$ Its acceleration, $a\ m^{-2}$, t seconds after passing O is given by $a=12-6t$. Find (i) the velocity of the particle when $t=2$, (ii) the displacement of the partial from O when $t=2$. I...

I get the conservation of momentum law that states that objects always have conserved momentum. I can easily accept this with the view that while an object appears to be at rest it is actually speeding through the universe at a massive speed. I just have the same speed so relative to myself the...

Homework Statement [/B] A baseball pitcher throws a ball at a speed of 47m/s. When the catcher receives the ball, he pulls his hand back through a distance of 0.035m in the process of making the catch. What was the acceleration of the ball as it was being caught, assuming the acceleration was...

Homework Statement Could you help me with this one? "In a particle accelerator, an electron enters a region in which it accelerates uniformly in a straight line from a speed of ##4.00x10^5## m/s to a speed of ##6.00x10^7## m/s in a distance of 3.00 cm. For what time interval does the electron...

1)I am confused why do we take vectors along y-axis and x-axis in motion on a plane? What's essence of learning vectors functions. 2)And in textbooks, they have given that motion in a straight line has 2 directions only. Hope many do motion on a plane has? Please give me simple and detailed...

Hello, I didn't know where to put my question, but I think here is the best section for it. http://im60.gulfup.com/apkrpJ.png The problem isn't that I can't solve it, I actually did but I don't understand the concept ! -- I don't remember anything from my high school stat and I didn't do...

Homework Statement The velocity of a particle moving in positive x-axis is according to the relation v= x^2 , then it's acceleration is A) 8x^2 B) 8x^3 C) 4x^2 D) 4x^3 Homework EquationsThe Attempt at a Solution

Figure 2-24 shows a red car and a green car that move toward each other. Figure 2-25 is a graph of their motion, showing the positions xg0 = 270 m and xr0 = -35 m at time t = 0. The green car has a constant speed of -20 m/s and the red car begins from rest. What is the acceleration magnitude of...

So, according to this figure :http://aleph0.clarku.edu/~djoyce/java/elements/bookIII/propIII23.html We cannot have similar segments of circles and unequal ones be built on the same side of the same straight line. My question is : Can we build similar segments of circles but unequal ones ? (It...

The title does not say much. But my actual question is as follows. Let us suppose a line ax+by=0. This means A.B = 0 with A and B being vectors, where A = [a,b] and B = [x,y]. Therefore, A is perpendicular to B. Now my question is if A is also perpendicular to line ax+by=0 (I'm not sure if this...

Can anyone explain why a photon seems to travel in a perfectly straight 3D line over unimaginable distances? What exactly defines a straight-line? The concept appeals to Cartesian coordinate space. Is there any way to quantify the straightness of a photon path? Or, does the path taken by...

http://news.nationalgeographic.com/2015/05/150315-quadruple-quasar-mystery-space-astronomy/National Geographic quoting Dr Hennawi, the lead author of the Science paper, says it is a ten million to one chance to find four quasars so close together. How much more unusual is it that in the first...

I'm looking for how to mathematically relate X and Y, in such a way that the Chi-Squared per degree of freedom is minimised. However I can't understand how this would work, given that I'm trying to use known X,Y dX and dY (errors) values, to get the related gradient and intercept for the line of...

I know that for two points, the difference between them is a line segment lets say these two points are 'a' and 'b' respectively, so b-a = "new vector represent the line" In my textbook b-a=d*t -- where 'd' is a vector along the directon of 'b-a' and t is a parameter. does 'd' actually...

Homework Statement If i have a system with one linear conductor and point, it's not problem to determine magnetic field at point, nut what happens if i have to determine the magnetic field at the straight line parallel to the linear conductor. Homework EquationsThe Attempt at a Solution For...

Homework Statement An asteroid is moving along a straight line. A force acts along the displacement of the asteroid and slows it down. The asteroid has a mass of 4.5*10^4 kg, and the force causes its speed to change from 7100m/s to 5500m/s. (a) What is the work done by the force? (b) If the...

Homework Statement A bullet fired straight upwards experiences an acceleration due to air resistance of 1m/s2 during its entire flight. If it leaves the barrel of the gun at 300m/s, with what speed does it hit the ground? Homework Equations None given The Attempt at a Solution integral of a=t...

A line in 2-dimensional euclidean space can be determined by the coordinates of any two particular points on the line. Hence four "parameters" are required. Now let’s consider a line given by the usual equation y = mx + c. c, being the intercept on the y-axis, is related to the point (0,c) which...

Homework Statement Three charges, Q1, Q2 and Q3 are located on a straight line. The charge Q3 is located 0.169 m to the right of Q2. The charges Q1 = 1.56 μC and Q2 = -3.03 μC are fixed at their positions, distance 0.268 m apart, and the charge Q3 = 3.18 μC could be moved along the line. For...

Homework Statement A line passing through the point (1,0) cuts the curve Y^2=4x at two points A and B. Find the equation of the locus of the mid-point of AB. Homework EquationsThe Attempt at a Solution the graph is parabola, the solution should also be a parabola with x-intercept at (1,0)...

I am reading Mathews and Howell's book: Complex Analysis for Mathematics and Engineering. I am currently reading Section 1.6 - "The Topology of Complex Numbers". I have a problem with an aspect of Example 1.22 on page 38. My problem is a simple one related to algebraic manipulation of a couple...

Homework Statement Can I measure the probability of a person being at a certain end location after n steps using the binomial distribution if, probability student goes x=x+3 is 0 <= p <0.5 , x=x-1 is 0<= 0.5 p <1.Homework Equations x=x+3 is 0 <= p <0.5 x=x-1 is 0<= 0.5 p <1 The Attempt at a...

(from my limited understanding) In our observable universe a photon could travel say, 5 billion light years in a straight line if unperturbed. Call the points X and Y traveling down-up. If point X was moved one Planck length to the left, would it still be able to travel exactly to point Y?

If there was no Sun then the Earth would move in a straight line with constant velocity. This is because the space has vacuum and there is no friction in space. This is because if you observe on Earth where there is friction we need to apply force against this friction. But in space there is...

Homework Statement The input range of a particular sensor is from 0-6 units and it's output is modeled by the equation O = ƒ(I) = 1+2I+0.005I^2-0.00833I^3 Ideally the output should be relate to the input by the straight line equation (ISL) if the form O=kI+a A) give the law if the ideal...

Could someone please check my work? Thanks :) A cyclist rode east for 1.0 x 10^2 m with a constant velocity of 25.0m/s. She then accelerated down a hill, and 5.0s later reached the bottom of the hill with a velocity of 50.0m/s. a)How long did the cyclist ride before reaching the hill...

Homework Statement At time t=0, a particle is located at the point (1,2,3). It travels in a straight line to the point (4,1,4), has speed 2 at (1,2,3) and constant acceleration 3i-j+k. Find an equation for the position vector r(t) of the particle at time t. Homework Equations The...

Homework Statement Starting from rest, a particle moves along an x-axis from point A to point B with constant acceleration a1 = 2.20 m/s2 through displacement d1 = 500 m. Then it slows at constant acceleration a2 through displacement d2 = 300 m from point B to point C where it is again at...

Homework Statement Problem statement: An infinitely long, straight line has a uniform charge distribution of ρ C/m. Use Gauss' law to find the electric field at a point r m away from it. Solution: Consider a cylindrical volume of height ℓ with circular cross sectional area of radius r...

Determine whether the points lie in a straight line: 1) A (2,4,2), B (3,7,-2), and C (1,3,3) 2) D (0,-5,5), E (1,-2,4), and F (3,4,2) I'm not sure what method I need to use to show that they are or are not in a straight line. I know that the three points in a are not in a line but those in...

Homework Statement A particle P starts from rest at a point O and moves in a straight line. P has acceleration 0.6t m s−2 at time t seconds after leaving O, until t = 10. (i) Find the velocity and displacement from O of P when t = 10. After t = 10, P has acceleration −0.4t m/s^2 until it...

Homework Statement Here is the problem I have been trying to figure out for the past hour. A unicycle is traveling in a straight line, along the x axis. At t=0, the unicycle is at x = D. Initially the cyclist is accelerating backwards, in the minus x direction. Over time, the acceleration...

Homework Statement 1. A small pebble of mass 50g is dropped into a pond and falls vertically through it with an acceleration of 2.8ms^-2. Assuming that the water produces a constant resistance, find its magnitude. 2. A lift of mass 500kg is lowered or raised by means of a metal cable...

I am looking for information to assist me in designing a model or program to draw a straight line bisecting the universe. Ok maybe just the Milky Way galaxy. I would like to view this line from various points 1. as viewed from a point on Earth (possibly one of the poles) 2. as viewed from a...

Homework Statement An object is thrown vertically upward at 35 m/s. The velocity of the object 5.0 seconds later is: Homework Equations vf=vo-gt The Attempt at a Solution g=9.8 m/s vo=35 m/s t=5s vf=? vf=35-(9.8)(5)=14 m/s down I know this is the correct answer, but I'm confused about why...

Homework Statement Show that the point (-1/2, -2) is equidistant from the straight lines 2x-3y+4=0 and 6x+4y-7=0 Homework Equations distance between the points= {(x1-x2)^2+(y1-y2)^2}^1/2 The Attempt at a Solution All I know is that the given two straight lines are perpendicular to...

Hi, To calculate the intersection of two straight lines the cross product of the line vectors can be used, i.e. when the lines start in points p and q, and have direction vectors r and s, then if the cross product r x s is nonzero, the intersection point is q+us, and can be found from...

1. Determine the magnitude and direction of the moment of the vertical 800 lb force about the straight line through points C and D. (See attachment for diagram) 2. I believe that the equation i need is (Moment vector)=(unit vector)*((position vector)X(Force Vector)) 3. I feel that...

Homework Statement State what you would plot to get a straight line if experimental (x,y) data are to be correlated by the following relations, and what the slopes and intercepts would be in terms of the relation parameters. If you could equally well use two different kinds of plots...

Homework Statement What could be the reason why the graph is formed the way it is?Homework Equations τ = 2π(L/g)^(1/2) The Attempt at a Solution I don't know how to explain it. Anyone know why one is a linear and another is a curve?

Ok, so this is a differential equation question. How can I use the eigenvectors/eigenvalues to find the formulas for straight line trajectories and from those formulas that I come up with, how can I alter them so as to start at any given point that I would like them to (like with starter data)...

So, I have to assess the relationship between the Constant of a Spring and the Time Period of Oscillations. I have researched the equation that links the two and I know that to have a straight line graph I need to plot: T2 against 1/K However, I do not know why; how I get to that conclusion...