Recent content by kman12

right thanks fredrik

Right this would make sense. So that means the 8 axioms for a "Vector Space over a field F" also hold for a "Vector space". Because i know that the basic defin of a vector space is that: 1) It contains a non empty set V whose elements are vectors 2) A field F whose elements are scalars 3)...

This doesn't answer my question, I want to know the difference between a vector space and a vector space over field F.

Hello, I'm studying linear algebra and wanted to know what is the difference between a "vector space" and a "vector space over field F". I know that a vector space over field F satisfies the 8 axioms, but does a vector space satisfy this also?

right thanks for clearing stuff up, makes good sense now. So is the paraboloid a three dimensional shape that has a two dimensional surface and is presented in R^3

im just asking how many dimensions the surface of a cylinder has, i guess it would be 2 dimensional since you can make it out of A4 paper which is 2 dimensional. However if you were to draw it on a xyz cordinate system, then each point on that surface would need to be specified by its height...

Hello there, i wanted to know what is the difference between a surface in R^2 and a surface in R^3 in an xyz cordiante system. More specifically how do they look like? an example please. Is this different from a 2 dimensional surface and a 3 dimensional surface respectively. Also what...

o ok thanks guys. I think my lecturer does the same thing by dropping the sign. But sometimes he doesn't even state that the e field and length element ds, are in oppisite directions, ie 180 degrees. It makes sense now cheers.

cheers, another quick question, if i want to find the potential across the plates of a capacitor, does it matter in which direction i integrate v= -∫E.ds=-∫ Edscosθ. In other words can i start from the positive end of the capactor and integrate to the negative end. so E and ds are parralal so...

Homework Statement Hello, 4 charges of equal magnitude are placed on the corners of a square of length a. The two charges at the top of the square are negative, while the two charges at the bottom of the square are positive. what is the magnitude of electric field at the centre of the...