Recent content by vampyric

Yes! Perfect sense! Cannot thank you enough for sharing your wisdom!

Wow that is a beautiful solution, cancelling out at its finest! Just for further understanding, why am I able to use the charge for a proton to find the velocity but then when I am finding the volume charge density I have to use Q=LI/v? Is it right to take this second Q to be the total...

Whoa good spotting! I used the given diameter :/ ahh so wrong. I honestly have no idea what to use here as I'm so confused about its shape. Whether I'm looking at the shape of the beam or the shape of the p.d. That makes sense considering it is a beam. I have length but I do not have a...

Hi thanks for replying! So given the values for mass and charge of a proton (m=1.67×〖10〗^(-26) kg,Q=1.6×〖10〗^(-19) C), velocity can be determined: QV=(1.6×〖10〗^(-19) )(10×〖10〗^3 ) =1.6×〖10〗^(-15) J Then using QV=E=KE I was able to find a velocity, E=1/2 mv^2 v=√(2E/m) =1.38×〖10〗^6...

Homework Statement A 1.0 μA proton beam is accelerated across a potential difference of 1.0 kV. Assume the beam has uniform current density over a diameter of 2.0 mm, and zero outside. Find: volume charge density in the beam, (HINT use λ=I/v where λ= charge/ unit length) The radial...

Ohhhhh right. This is actually making sense now. Thank you so much! As for Nevermind, I was interpreting it to apply to all ordinary + as well and was confused as to why I hadn't seen this in R^3. I will never underestimate the significance of notation again :) Thanks!

So taking this with respect to axiom 1: v+w=w+v for all v,w ∈ V (x',y')+(x,y)=(x'+x+1,y'+y+1) Is this correct?

Sorry about that, I was in a rush to get to class. So I'm not sure if I get this For an addition operation (x,y)+(x',y') from definition you just simply add +1 to each coefficient...is this what you mean? I haven't noticed it being done for the case (x,y,z), is this because it is in R^3...

Homework Statement Hi there, I'm very new to vector spaces and just can't seem to figure this one problem out. The question ask's to determine if (V,+,*) is a vector space. I am given V=R^2 (x,y)+(x',y')=(x+x'+1,y+y'+1) for addition on V and λ*(x,y)=(λx+λ-1,λy+y-1) (λ∈ℝ) for...