- #1
Methavix
- 38
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Homework Statement
I have a function of two variables. I want to yield the integral mean over these 2 variables.
In particular, the function is a vector (of constant length v0) coming out from a only point that can have all direction possible in a semi-space. So if i draw all vectors i draw a semi-sphere of radius v0. I call alpha one angle and beta the other one, and both of them are variable between 0 and pi.
2. The attempt at a solution
If a consider just a 2-dimension space i have the solution
....pi
..../
v = (1/pi) * | v0*sin(alpha)*d(alpha) = (2/pi)*v0
.../
...0
but in the 3-D space? which is the mean vector? (that is horizontal, i mean with alpha=beta=0).
thanks
Luca
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