If i=1, j=2, k=3, we have the ith component of A multiplied by the jth component of A? But this will always equal 0 because unit vectors i and j when multiplied = 0. Any variation other than that when i=j will yield the same response. And any variation where i=j means that epsilon=0. Is this...
Homework Statement
Prove that (AxB) is perpendicular to A
*We know that it is in the definition but this requires an actual proof. This is what I did on the exam because it was quicker than writing out the vectors and crossing and dotting them.
Homework Equations
X dot Y = 0 when...
Okay so I recomputed the temperature using -(Tf-Tr) and got 400. From there i got left S= (3/2)N*ln(2) (Tf/Tl = 2) which gave me 1.04N J/K. On the right I got S=3N*ln(4/5) which was -.669N J/K. I summed them, but I think I'm still missing a k_b somewhere. I crossed them out in the same step...
Homework Statement
A container is divided into two parts by a thermally conducting wall. There are N atoms of a monatomic ideal gas on the left side, 2N on the right. The gas on the left is initially at absolute temperature 200K, the gas on the right at 500K.
a. After thermal equilibrium...