Intersection Definition and 688 Threads

may i know how to find the point of intersection between y=x+6 and y=x^3 ??

I need to know the area of the intersection between a sperical shell and a plane in spherical coordinates. By "shell" I mean a sphere with some differential thickness dR. Basically, I know that the intersection of a sphere and a plane is a circle. But I want to consider this sphere having...

Hi, Recently i tried (and failed) to calculate the intersection volume of a sphere and a cylinder. I found this simple problem seems not so simple for me. Searching on the web, nothing on that, so if someone can help me thank you. (the simplified solution with the intersection area of...

I have tried but doesn't work out well... Find the point at which the normal through the point (3,-4) to the line 10x+4y-101=0 intersects the line. Originaly I thought that it should be found by doing the dot product of: (x-3,y+4)dot(-4/10,-10/4)= 0

I'm trying to find the parameterization of the intersection of a cylinder x^2+y^2=1 and the plane x+y+z=1, but I'm not exactly sure how to go about it. Any guidance on how to find this intersection in a parameterized form would be most appreciated. In general I don't know a great deal about...

Let X be a space. Let \mathcal{D} be a collection of subsets of X that is maximal with respect to the finite intersection property. Show that if X satisfies the T_1 axiom, there is at most one point belonging to: I = \bigcap _{D\in \mathcal{D}}\bar{D} A collection of subsets has the...

Suppose you are given the equation of a line, and a given cosine function that the line intersects. How do you solve algebraically, that is non-graphically, for the point of intersection of the line and the cosine function? Inquisitively, Edwin

I'm trying to find the points of intersection of line and circle with equations: (x-p)^2 + (y-q)^2 = r^2 (y-y1)*(x2-x1)-(x-x1)*(y2-y1)=0 but i can't handle with this. Can anyone help me?

In my multivariable calc class, we're asked to prove that the finite intersection of open sets is open. I've tried to find help on the internet but couldn't find anything to help. I understand somewhat the idea of "nesting sets" that some proofs use .. can anyone help me understand this to prove...

I looked through some books and couldn't find how to find curves of intersection between surfaces. My question asks: explain why the curvature between surfaces z=x^2 and x^2+y^2=4 is the same of intersection between the surfaces z=4-y^2 and x^2+y^2=4. please help i feel really dumb right...

[FONT=Verdana]Hi All I have a problem with Set theory. I am given to prove the following; Is the intersection of two equivalence relations itself an equivalance relation? If so , how would you characterize the equivalnce sets of the intersection? Regards, Nisha.

I have a 3D polygon and a ray! Please tell me how can I know if they intersect together and how to find intersection point between them? :confused:

Hi can someone please help me with the following question. Such questions always trouble me because I don't know where to start and/or cannot continue after starting. Q. Let H and K be subspaces of a vector space V. Prove that the intersection of K and H is a subspace of V. By the way...

I have 2 subspaces U and V of R^3 which U = {(a1, a2, a3) in R^3: a1 = 3(a2) and a3 = -a2} V = {(a1, a2, a3) in R^3: a1 - 4(a2) - a3 = 0} I used the information in U and substituted it into the equation in V and I got 0 = 0. So, does it mean that the intersection of U and V is the whole...

Hi,:-p so, I can't solve the embarissing: x^{2} = -\frac{1}{2}ln(x) , where x \in ]0, 2] or (0 < x \geq 2 ) any hep would be nice... thanx for your pacience!

The graphs of f(theta) = 2sin(theta) - 1 , and g(theta) = 3cos(theta)+2 are given. What equation would have the intersection points of the graph its solutions? ummm... what does this mean? and how do i solve it?

Well, From what I understand, to determine the intersection of a line and a plane, we use parametric form of the line and substitute the values of x, y and z into the Cartesian equation of the plane, correct? so, given the line x = 2 + 4t y = -1 + kt <=== note the 'k' variable z = 5...

Well, I'm doing homework (again). I was introduced to homogeneous systems of planes and then asked why there must be at least 1 intersection point. The book gives very little (one sentence) on homogeneous systems so I tried to search around online. My guess is that since all of the...

Hi guys, I'm just wondering is it possible to solve the following using algebra to obtain the points of intersection of the two curves f(x) = 6sqrt(x) and g(x) = [(x+5)^2]/36 I got to the point where i reconized that the inverse of g(x) = 6sqrt(x) - 5 which looks a lot like the function...

I have jury st in front of me I have banbury Rd to my right I have the river avon behind me.

I'm just an interested laymn, and I'm trying to improve my knowledge in some areas where I'm weak. To this end, I found that Shilov's Elementary Real and Complex Analysis was highly recommended, and the Dover edition was available for only ten bucks, so how could I go wrong? But it didn't take...

How do I find the line of intersection of two planes? I have an idea, but both of the planes have a -2z ie. Plane 1: 10x-4y-2z=4 Plane 2: 14x+7y-2z If I set them both equal to each other, I lose the z part. So, is there some other way to solve this, or am I missing something? Thanks!

I have two questions I need to make sure if I'm doing correctly. Its vectors. 1) For what values of a are the vectors i+3j-k and i+aj+k i) inclined at 30 degree angle cos@ = n1.n2 / |n1||n2| cos^2(30) * 11(2+a^2) = ((3a)^2) a=sqrt22 ii) perpendicular (1,3,-1).(1,a,1)=0...

This time I need a yes/no answer (but a definitive one!): Suppose we have a group of finite order G, and two cyclic subgroups of G named H1 and H2. I know the intersection of H1 and H2 is also a subground of G, question is - is it also cyclic? And can I tell who is the creator of it, suppose I...

Hey, im trying to write a program that computes Volume of Intersection of a Cone with a Sphere. Can anyone point me to the math i need to know. Any links, material is good. Thanx

Hi can someone please check that my points of intersection are correct? The question was determine the coordinate of the intersection point of \frac {(x-3)^2} {9} + \frac {y+2)^2} {4} =1 and y=2x-3 I after putting the second equation into the first and then expanding and solving...

Hi, I need some help with this question: Find all values of \ k for which the lines do not intersect. \ (x-2,y+1,z-3) = (r,0,3r)\ and\ (x,y,z) = (2,1,4)\ +\ s(2,k,6) I put the first equation in vector form: \ (x,y,z) = (2,-1,3)\ +\ r(1,0,3) Now I know that if the direction...

Find symmetric equations of the line that passes through the point (0,1,2) and meets each of the lines x = y = z + 2 and x/-2 = (y+3)/1 = z/3. Those equations can be written as: r = (0, 0, 2) + t(1, 1, 1) r = (0, -3, 0) + s(-2, 1, 3) Now, I can't seem to find any direction to go with...

i have y=x^2-x and y=x from this x^2-x=x therefore: x^2=0, and x then equals zero. putting this info into y=x, y=0 this gives the points (0,0). however, in the answer book, it shows that the points of intersection are (0,0) and (2,2). how is it possible to do this?! appreciate any...

Original question: a) Find a vector function for the curve of intersection of the paraboloid z = 3x^2 + 2y^2 and the cylinder y = x^2. b) Show that this curve passes through (1,1,5) but not (3,3,9). I really have no idea how to do either parts of this question. Any help would be greatly...

I'm using the following equation to represent lines (x, y) = (start_x, start_y) + t((end_x, end_y) - (start_x, start_y)) I'm trying to find the interesection point of two lines written in this form. I have been able to solve for t and plug it back into the equation, but i get two values...

Hi, how do I find a tangent vector to the curve intersection of the surfaces 2x^2+2y^2-z^2=25 and x^2+y^2=z^2 which has positive x-direction? Thanks in advance.

The question is: Suppose W and X are subspaces of R^8. Show that if dimW=3, dimX=5, and W+X = R^8, then W \cap X = \{0\}. I can see this is obvious iff W and X are disjoint sets. If we add members of W to X in the usual way, and we get the new set W+X whose dimension is now 8 (given), then...

Let S and T be two spans of vectors, what's the general method to find a basis for the intersection of S and T (SnT)? Thanks

ok... first of all, I was discussing with my friend, he propose an argument of, if you have two N-Dimensional Spaces, (let's called it Sn1 and Sn2), they will form another M-Dimensional Spaces, which M is either 0 or M bigger or equal one smaller or equal N-1... what he said was that if Sn1...

Hello, How do I find the line of intersections of the two planes 7x - 2y + 3z = -2 and -3x + y + 2z + 5 =0, without having to resort to solving it by row reduction?

how do i find intersection of sin(x) and cos(x)? wat method do i use?

Could anyone help me summarize or if anyone knows good tricks in solving problems of lines intersecting with planes, etc, in 2d or 3d, the concept is same, but just want others opinion on what its basic idea is. i am able to do problems but i don't really understand them, i have to go back in my...