Intersection Definition and 688 Threads

Find the equivalent intersection point of multi lines in 3D space. HI everyone, I'm not a native english speaker, so I wonder you could understand my question very well. This question originates from my physics experiments. When I catch several lights from my equipment, the light...

Homework Statement Consider two quarters of a cylinder of radius R. What is the volume of a the intersection of a two quarters of two cylinders if the quarters meet at a right angle? Two sides of the bounded region will be rectangular according to this arrangement. (see the diagram when it...

Hi to all, I really need help fast. How do I solve this question? A solution would be much appreciated. THANKS A MILLION! ======================================================= Let S1 and S2 be the two subspaces in a vector space V. Show that the intersection of S1 and S2 is also...

Homework Statement Two planes r_1 and r_2 have the equations: r_1 = ( 1 - \lambda ) \underline{i} + ( 2 \lambda + \mu ) \underline{j} + ( \mu - 1 ) \underline{k} r_2 = ( s - t ) \underline{i} + ( 2s - 3 ) \underline{j} + ( t ) \underline{k} If a point lies in both r_1 and r_2 then...

Homework Statement 1 = absolute value( (sin(x)-x)/(sin(x))) * 100 Homework Equations Don't think there are any. The Attempt at a Solution I decided to do it graphically, so i graphed y=.01 and y= absolute value(1-(x/sin(x)) I got x = .244 radians for the intersection and I am just...

Let s1 be the set spanned by the polynomials: x^3+x+1, x^3-3x^2+x-2, 2x^3-1. Let s2 be the set spanned by the polynomials: x^3-1, x^2+x+1. What is the intersection of s1 and s2? I really don't know where to begin, I don't know how to define these sets, s1 and s2. since i don't know what...

Homework Statement Two lines in space are in the same plane. Line AB passes through points A(x,y,z) and B(x,y,z), and line CD passes through points C(x,y,z) and D(x,y,z). Determine if these two lines are parallel. If they are not, determine the x,y,z coordinates where these two lines...

[SOLVED]Finite-Compliment Topology and intersection of interior Homework Statement Given topological space (R^{1}, finite compliment topology), find counter example to show that Arbitary Intersection of (interior of subset of R^{1}) is not equal to Interior of (arbitary intersection of...

Homework Statement Two highways intersect. A police car P is 800 m west from the intersection and moving at 80km/h west. Motorist M is 600m north of the intersection and moving at 60 km/h south. a) in the unit-vector notation, what is the velocity of the motorist with respect to the police...

1. A ball is thrown upward from the ground with an initial speed of 25m/s. At the same instant, a ball is dropped from rest from a building 15m high. After how long with the balls be at the same height? 2. The equation i had in mind was D=Vi(t) + 1/2 at^2 3. For this problem I believe that I...

Homework Statement r = 2 r^2 = 9sin(2theta) Find the 4 points of intersection Homework Equations The Attempt at a Solution Since r = 2, 4 = 9sin(2theta)... 4/9 = sin(2theta) Taking the inverse of 4/9 only gives me one answer on the calculator (obviously), and I do not know...

[SOLVED] intersection of two open sets does anyone know how to prove the intersection of two open sets is open?

Homework Statement Prove that any set in a metric space is an intersection of open sets. Homework Equations The Attempt at a Solution I think the general idea would be that this set is in a (probably infinite) number of open sets, so we just take the smallest one. But I am not...

Where do a concentric sphere and square, both of area 1, intersect?

I was given a very open ended question stating... "How Long will it take to break into a line of traffic at a 'T' intersection" I need some sort of start like a theory that includes this kind of thing. We have been studying probability this term so i need something to do with a probabilty...

Hi all, I have a bit of an algebraic problem, and my lack of attention during math is starting to show. I was experimenting with hit detection based on lines for a simple shooting game, and the enemies bieng circulair. I already have a function to check the distance from the line to the...

the parabola equation is: (x^2/25) - (y^2/9) = 1 the line is y = 4-x according to my calculations, if i point y - 4-x into the equation, i get -16x^2 + 200x - 175 = 0. is that right so far? ~Amy

"a parabolic arch has an equation x^2 + 10y - 10 = 0. the arch is on a hill with equation y = 0.1x-1. (measurements are in metres). "find the points of intersection" for this i substituted y =0.1x - 1 into the equation x^2 + 10y - 10 = 0: x^2 + 10(0.1x - 1) - 10 = 0 x^2 + x - 10 - 10 = 0...

[SIZE="1"]What I did today, by edward Outside of the city limits of Tucson panhandlers can stand in the center median and wave their "will work for food" signs. I was stopped at an intersection so wide that a pedestrian could not be expected to make it all the way across on the walk light...

Homework Statement 5. Find parametric equations for the tangent line to the curve of intersection of the surfaces z^2 = x^2 + y^2 and x^2 + 2y^2 + z^2 = 66 at the point (3, 4, 5). The Attempt at a Solution f(x,y,z) = x^2 + y^2 - z^2 g(x,y,z) = x^2 + 2y^2 + z^2 Partial derivz...

Homework Statement One of those annoying questions that should be simple, but that I've forgotten how to do: Two lines are given by the equations r1=a+lp and r2=b+mq. Find the condition for the lines to cross, and find there position of intersection. Homework Equations The Attempt...

Homework Statement Im not sure how to start this question: determine the points of intersection between y=sin x and y=cos 2 x for x between 0 and pi. The Attempt at a Solution First thing that comes to mind is the eqaute the two, but i don't know how that helps me?

Hi all: Given a plane ax+by+cz+d = 0, and a straight line, X = X0 + vt. What is an efficient way to compute the intersection point please? Also, is there any efficient method to determine if two points are located on the same side of the plane or on the different side of the plane...

Hi; First i you read my problem and feel that it does not belong to this forum please inform me which one is the right one. I have 2 lines L1,L2 in 3-dimensions L1 has (x1,y1,z1) (x2,y2,z2) L2 has (x3,y3,z3) (x4,y4,z4) How can I know that these two lines are intersected? Thanks toto

Hello,so this is prob a v v basic question but I am confused as to how one find the equation of the line of intersection of two planes:e.g. 2x + 3y + 5z = 2 & 4x + 2y + z = 11. is there just one unique solution or will the solution involve parameters??eeks :bugeye:

Ok, so I need a topic to present. I am taking Quantum mechanics, introduction to astrophysics, and a seminar class... I need a topic for a 30-40 minute presentation for each class, and was wondering if there are any interesting topics that tie QM and astro together... thus, one presentation...

Ok, so I need a topic to present. I am taking Quantum mechanics, introduction to astrophysics, and a seminar class... I need a topic for a 30-40 minute presentation for each class, and was wondering if there are any interesting topics that tie QM and astro together... thus, one presentation...

Homework Statement Find the area of the region that is inside the circle r = 6cos(theta) but outside the cardoid r = 2 + 2cos(theta) Homework Equations r = 6·cosθ r = 2 + 2·cosθ The Attempt at a Solution intersections of the two curves. 6·cosθ = 2 + 2·cosθ → 4·cosθ = 2...

Hi, I have two parametric curves defined in three dimensions, which are functions of a variable t, like so: x1 = f1(t) y1 = f2(t) z1 = f3(t) x2 = f4(t) y2 = f5(t) z2 = f6(t) I am trying to find the intersection of these two curves, but I am having some difficulty with the...

Homework Statement Hi, I need help with the following. I'm asked to find the parametric equation of the tangent line to the curve of the interrsection of the paraboloid z = x^2 + y^2 and the ellipsoid 4x^2+y^2+z^2 = 9 at the point (-1,1,2). Homework Equations I think I'm asked to find...

Homework Statement A comet is going in a parabolic orbit lying in the plane of Earth's Orbit. Regarding Earth's orbit as circular of radius "a," show that the points where the comet intersects Earth's orbit are given by: cos(theta)= -1 + (2*p)/a where p is the perihelion distance of the...

just a clarification cause it's been so long if you have intersection in a venn diagram, is it general practice to label the section including the intersecting diagrams. say you have two sets of 10 with 5 things in the intersect. do you label it 10 in the 2 sets and 5 in the intersect. or. 5...

Homework Statement (i) Drawing a contour map for the function h(x.y) = -12-4x^2+16x-y^2-8y (ii) (Continuing from i) at the point (1,-1,7) which direction to move to have the maximum increase in height? (iii) Find the point closest to the origin on the curve of intersection of the...

Homework Statement Find a necessary condition for the three planes given below to have a line of intersection. -x +ay+bz=0 ax-y+cz=0 bx+cy-z=0 Homework Equations in order to get a line of intersection between the planes..i know i need one line of the matrix to be [0 0 0|0]...

Homework Statement I can't find the intersection for Line y = 3/4x - 35/4 and Circle y^2 + x^2 = 25 Homework Equations The Attempt at a Solution

hi i need to find the points on the curve of intersection of x^2+(y-1)^2+(z-1)^2 = 1 and 2x + y + 2z = 4 which are nearest and furthest furthest from the origin. Also the min and max distances. I'm not looking for you guys to do this four me, I'm kind of lost and don't know where to go. I...

Hello, I was wondering if anyone could offer some advice on this one. I have a multi-part problem, in which I can't get the second part. It starts like this: (a) Find the equation of the sphere passes through the point (6,-2,3) and has a center of (-1,2,1). So I did this find and...

Hello, I am trying to find the line of intersection between these two planes: P_1 = x + 2y -9z = 7 P_2 = 2x - 3y + 17z = 0 I found the direction vector needed for the line of intersection between these two points by taking the cross product of the P_1 normal vector and the P_2 normal...

So, I am to find a parametric equation for the line through P_1 and P_2 and then determine (if possible) the points at which the line intersects each of the coordinate planes. P_1 (5,-2,4) P_2 (2,6,1) \vec{P_{1}P_{2}} <-3,8,-3> x = 5-3t y = -2+8t z = 4-3t So I got this far, but...

Hi, I have this problem that I can't seem to figure out. I'm taking physics in French but I will try my best to translate it. At an instant, two cars, A and B, are 10km away from an intersection of two perpendicular roads. Car A is moving towards the East and has a speed of 30km/h whereas...

this is the problem and I've worked for mostof it, but I am not sure I've got the right way to go about it, or if the ansewr i have found it right. here, I am using the method for finding the vector equation given the plane 2x + 6y + z = 6 intersects the paraboloid z = x^2 + y^2, find and...

Heres the quesion Prove that the line whose equation is y=2x-1 does not intersect the curve with equation y=x^4 + 3x^2 +2x. We are suppose to solve this using indirect proof, thus assuming the equations do intersect, and proving that wrong. i let the y's equal each other, but that isn't...

"Let H and K be subgroups of a group G. Prove that the intersection xH\cap yK of two cosets of H and K is either empty or is a coset of the subgroup H\cap K." I'm stuck here.

These two problems are giving me some guff. Any ideas on how to solve? Two cars approach an intersection of perpendicular streets. Car A is moving north at 10.5 meters per second, and Car B is moving west at 17.1 meters per second. What is the velocity of Car B relative to Car A? (In other...

Let I=(a,b) and J=(c,d) with I and J having a nonempty intersection. Find a formula for the intersection of I and J and prove it. When a<c I have found that the intersection is [c,b]. Now I need to prove that it is. The way I intend to prove it is by showing that [c,b] and the intersection...

hello i have two questions and i need answers for them first one: in the additive group (Z,+) show that nZ intersection mZ= lZ , where l is the least common multiple of m and n. The second question is : Given H and K two subgroups of a group G , show the following: (H...

How do you find the intersection of subspaces when the subspaces are given by the span of 3 vectors? For example, U is spanned by { X1 , X2 , X3} and V is spanned by { Y1, Y2, Y3}. Thanks in advance.

A stone is droped from the top of a cliff of height 256 feet, and, at the same instant, another stone is projected vertically upwards from the ground with a speed of 96 ft/s. Find where they will meet? I have the following: v1=u1+at, v2=u2+at, s1=u1t+1/2at^2, s2=u2+1/2at^2, I also have...

Question: Consider the intersection of the paraboloid z = x^2 + y^2 with the plane x - 2y = 0. Find a parametrization of the curve of intersection and verify that it lies in each surface. How I went about it: x = 2y z = (2y)^2 + y^2 = 5y^2 Set y = t, then x = 2t y = t z = 5t^2...

Question: Find a parametric representation for the curve resulting from the intersection of the plane 3x + y + z = 1 and the cylinder x^2 + 2y^2 = 1. What I did: x = cost y = sint/sqrt(2) z = -3cost - (sint/sqrt(2)) + 1 I think I'm doing this correctly but the answer seems too easy...