Cartesian Definition and 561 Threads

What are the differences in the "uniqueness" of the representations in Cartesian coordinates and in polar coordinates?

Find a cartesian equation for the perpendicular bisector of the line joining: A, (2,3) and B, (0,6). Haven't come across this before, and really am stuck! Thanks in advance.

Just got back into physics after 4 years in social science and I have forgotten how to convert cartesian coordinates to polar coordinates. The textbook I have makes no metion of it. probably bc I am expected to know this, but I can't remember. I remember how to calculate the distace between two...

I've no idea what to do with this, the examples didn't have anything of this style: The point A has coordinates (3,0,0), the point B has coordinates, (0,3,0), the point C has coordinates (0,0,7). Find, to 0.1 degrees, the sizes of the angle between the planes OAB and ABC, where O is the...

Using converse of alternate segment theorem (i think it is) i.e. this: "If the line joining two points A and B subtends equal magnitude angles at two other points on the same side of it, then the four points lie on a circle" establish the cartesian equation, range and domain of the locus...

I am struggeling with the following problem: give the x,y,z coordinates from the following ball points/vectors 1. (r, theta, phi) = (sqrt3, 3/4pi, 3/4pi) 2. (r, theta, phi) = (1, 1/6pi, 1 1/6pi) the sollutions I found in my reader are as followed: 1. (x, y, z) = (-1/2 sqrt3, 1/2...

Just to make sure I got this right. Cartesian is the popular x,y,z. Polar is the one with degrees, and has a circular shape. Is that it?

Does anyone have a quick method to do this?

Hi. I was just wondering if anyone could help me with a formula to solve the following problem. I have two locations (L1 and L2), which I know the cartesian coordinates of, situated in a three dimensional space. I also have a distance (D) which I also know the value of. D is not the...

if R = sinti+sqrt(2)costj+sintk, 0<=t<=Pi/2 please eliminate t to determine the cartesian equation of R(t). Put limits on the variables and verbally describe the curve

Well, it is not really hard to convert them. My main problem is thinking in Polar coordinates. Cartesian coordinates are really easy to think about for me (after how many years of experience) but then I get to Calc 3 and I hit a brick wall. Does anyone have some insight on how to get past...