Coordinate Definition and 868 Threads

Hi i'm stuck on this question . please could someone guide me in the right direction ? A = (1, - 2,4) and B = (8,12, - 3). Find the co-ordinates of the point which divides AB in the ratio 2 : 5. thanx roger

Hey there I'm working on questions for a sample review for finals I'm stuck on these three I think I'm starting to confuse all the different theorem, I'm so lost please help 1) Find the coordinate vector of the polynomial p(x)=1+x+x^2 relative to the following basis of P2: p1=1+x...

How do I express this in polar coordinates? (x-h)^2+(y-k)^2= h^2+k^2 It is a circle with k and h greater than 0.

Identify a convenient coordiante system for analyzing each of the followling situations: A. a dog walking along a sidewalk B. an acrobat walking along a high wire C. a submarine submerging at an angle of 30 degrees to the horizontal. This should be rather easy, it was number one of the...

Can anyone tell me: 1) How to understand the defination to orthogonal transformation matrix? Defination: A(i,j)A(k,j)=q(i,k) where q is Kronecker delta. 2) Why the inverse of this orthogonal matrix is equal to its transpose? Will.

Hi everyone. This is a question that was attempted in class but no on (including our teacher) could solve in the time we had left. It's not actually homework, but it's really getting on my nerves! The quadrilateral ABCD, where A is (4,5) and C is (3, -2), is a square. Find the coordinates of...

I'm just introducing myself to coordinate geometry in the xy plane of cirlces. Here's a question I'm having trouble with: Q11: The line with equation y=mx is a tangent to the circle with equation x^2 + y^2 - 6x - 6y + 17 = 0. Find the possible values of m. At first i thought i'd try...

Tensors, a reason of great schism in physics? Yes, this application of that aristotelian principle, you have described so well, where the third is excluded and as so uncertainty is the reason why there won`t be a quantum gravitation theory, and a reason why physical laws must not be expressed...

As Einstein said, when we talk of higher speeds close to the speed of light, time becomes an important factor...So much that the time coordinate that was almost non-existent before, becomes a dominant force... So if we move at speeds close to the speed of light, the time coordinate become...

Ok, so if a ball is thrown vertically upward with velocity v on the Earth's surface. (Air resistance being neglected). I have to show that the ball lands a distance (4wsin(beta)v^3/3g^2) to the west where w is the angular velocity of the Earth's rotation and beta is the colatitude angle...

Does anyone know of an “Idiot’s Guide to Coordinate Transforms…”, or good rules of thumb to employ to determine the “proper” set of coordinates for a particular problem? I’m not really having any trouble with the mathematical machinery like finding the Jacobian, etc.; my problem is actually...

can anyone teach me how to use a different coordinate system to sketch the graph of (x-2y)=sin(pi(x+y)). i have totally no idea

A baseball bat of length 1.05 cetimeters has a lenear density given by l=.950 + 1.050x^2/l^2 find the x cooridinate of the center of mass in centimeters. How am I supposed to work this problem?

Hi all, I'm trying to solve Exercise 1.4.3 in Foster & Nightingale's "A Short Course in General Relativity." The question essentially provides the metric for Euclidean space in spherical coordinates and the matrix representing the coordinate transformation from spherical to cylindrical...

I'm trying to understand the manifold properties of world-sheets in string theory. I'm told that world sheets are manifolds and that manifolds are locally Euclidean. So I would like to know the characteristics between the space-time coordinates of the world-sheet given as xμ verses the 2D...

Greeting A TA has got me very and utterly confused. He won't be avaible for a few days, so I'm asking you guys. Consider the transformation to cilindrical coord. x-->r.con[the] y-->r.sin[the] z-->z I have the Jabobian (no problems here). He then asks the differential da , where a...

Hi, I think it is atan of the derivative of the curve, is that right? Thanks Matt

Is their a 4-D coordinate plane?