Recent content by mrxtothaz

If we have a vector that can be expressed in terms of some finite list of basis elements. If we have an orthonormal basis for a vector space V, then a vector v can be expressed as <v,e1>e1 +...+ <v,en>en. This appears to be widely used for many results (such as Gram-Schmidt), but the...

The motivation for inner product spaces is geometric, yet I find myself a bit unclear about the geometrical implications associated with inner products. I would appreciate if some of my concerns could be addressed; while the length of my inquiry may be a bit much, I would like to make it clear...

I'm doing a bit of review and have a few brief questions. 1) Say you have 3 polynomials that generates a 3dimensional space. Let this basis be {x2 + 3x -2, 2x2 +5x -3, -x2 -4x +4}. To prove that these vectors span the space, I want to show that any vector in this space can be expressed...

I am in the process of learning limits and there are a few things I would like to ask. 1) In order to apply the limit definition, you can't just have one point because there is no notion of 'approaching' a limit. I would like to play around with the limit concept by understanding some of the...

I am solving for a linear system of differential equations. Since LaTeX never works out for me on this forum, I have written out my problem and my solution on LaTeX and made an image of it: http://i.imgur.com/ncra.jpg . I basically have to solve the system of equations and express it as a...

Homework Statement I have been given a set of data and been asked to find the effect of doubling the concentration of substance X on the reaction rate. I have chosen two data points to this end: Mixture 1: Substance X Concentration: 0.10 mol/L Substance Y Concentration: 0.05 mol/L...

I'm sure a solution can be found by those means, but the three reactions should be enough for this kind of exercise. The first two equations combined yield the third equation, so there is no need for additional equations. The only issue is that the enthalpies are quite a bit off. Do you...

Not sure what you mean by HAaq, but the hydrogen ions arise from the dissolution of hydrochloric acid.

I'm looking into possible sources of error; the only thing I can think of is that the experimenters assumed the specific heat capacity of each solution to be same as that of water? As with density. Could this account for the discrepancy?

Homework Statement I have been provided with the results of a lab: Reaction 1: NaOH(s) --> Na+(aq) + OH-(aq) Reaction 2: Na+(aq) + OH-(aq) + H+(aq) + Cl-(aq) --> H2O(l) + Na+(aq) + Cl-(aq) OH-(aq) + H+(aq) --> H2O(l) Reaction 3: NaOH(s) + H+(aq) + Cl-(aq) --> H2O(l) + Na+(aq) +...

Homework Statement A test charge of +1.0x10^-6 C is 40cm from a charged sphere of 3.2x10^-3 C. How much work was required to move it there from a point 1.0x10^2 m away from the sphere? Homework Equations W = \DeltaE W = Ee2 - Ee1 The Attempt at a Solution Ee2 =...

Yeah. I understand that to find Fnet, I need to figure out angle y, but given that I was so inclined toward a trigonometric solution, not being able to find x just made the whole problem a non-starter for me. I didn't know how to rationalize getting an angle for the diagram, so thank you for...

Homework Statement I've taken the liberty to translate the problem, along with its corresponding diagram, into an image: http://img15.imageshack.us/img15/9695/questionm.jpg angle q1 = 53* angle q2 = 37* angle q3 = 90* Homework Equations F21 = kq1q2/(r21)^2 F31 = kq1q3/(r31)^2...