Thanks folks, I solved it. The process included taking the inside terms of the entire first term and dotting them with the entire second term as follows:
(4u + 3v) ⋅ (4u − 2v)
[4u ⋅ (4u − 2v)] + [3v ⋅ (4u − 2v)]
16u2 - 8u⋅v + 12u⋅v - 6v2
and for the second part, ll 3u − 4v ll2 is equivalent to...
Is the inner product equivalent to the dot product? The only relevant formula I know is the that of the dot product, but I am unsure of how to apply order of operations when dealing with vectors.
Homework Statement
If the compressability factor is given at a certain temperature as a function of pressure: Z(T) = 1+αP+βP2 find α and β in the form α(a, b, T) and β(a, b, T) where a and b are the van der waals coefficients.
Homework Equations
nRT=(P+a(n/V)2))(V-nb)
Z=PV/nRT
The Attempt...
Thanks for the help!
So, if w = kv, then (w^2) = (k^2)(v^2) and:
w^2 = (k^2)/(v^2)(1/μ0ε0) simplifies to (v^2) = (1/v^2)(c^2) which goes to (v^4) = (c^2)
...now?
Homework Statement
I'm working on using the wave equation to prove that EM waves are light.
Homework Equations
Here's what I'm working with:
E = Em sin(kx-wt)
B = Bm sin(kx-wt)
∂E/∂x = -∂B/∂t
-∂B/∂x = μ0ε0 ∂E/∂t
and the wave equation: ∂2y/∂x2 = 1/v^2(∂2y/∂t2)
The Attempt...