Recent content by Dissonance in E

All right, thanks a lot.

ok so if i do something like this on matlab: v = [3,3,3]; k = [0,0,1]; w = cross(k,v); d = cross(w,v); d = d/norm(d) d = 0.4082 0.4082 -0.8165 i should get a unit vector d on point v that points towards point k ? will this work for arbitrary values of v & k ?

Is there a way to solve the vectors using just a point on the axis and a unit vector towards the direction we want indicated ? I found something similar on the web, will this work? "Let r2u be a unit vector from the center of the Earth's surface to point 2. This unit vector is just a vector...

I assume this is rather elementary so I'll be brief. I have a point in an xyz coordinate system, this point is assumed to lie on the surface of a sphere with radius R. Suppose I know the coordinates of this point, how would I go about solving for the unitvectors pointing "due north", "due...

Homework Statement Find L & C so that maximum power is delivered to load resistor. ___l 50 ohm l___ ( inductor L )____.____ ( inductor L )___ l . . . . . . . . . . . . .. . . . . . . . . . . l . . . . .. . . . . . . . . . l 10 V ac source . . . . . . . . ( Capacitor...

How does one form a laurent series about the point z0 = 2i for the function: 4cos(z*pi) / (z-z0). Could one take advantage of the power series 1 / (z - z0) 1 / (z - 2i) SUMMATION q^n = SUMMATION (2i)^n = 1 + 2i -4 -8i . . . . . and somehow integrate the rest of the...

If i have a closed pathintegral of the form: (sin(z)+3cos(z) + 3e^z)/((z-(pi/2)^2) How is cauchys integral formula applicable? If I split the integral into partial fractions won't i still get A/(z-pi/2) + B/(z-pi/2)^2, the B part of which won't be applicable to cauchys formula since the...

nice, thanks.

Hi I have a parametrisation of the unit circle z = cos(t) + isin(t) = e^(it) now i guess that the conjugate of that is the same but with a negative coefficient on the imaginary part, namely: conj z = cos(t) - isin(t) How does that extend to the e^(it) form? is the following true: cos(t) -...

Homework Statement Find the volume of the largest rectangular box with faces parallel to the coordinate planes that can be inscribed inside the ellipsoid : (x^2/a^2)+(y^2/b^2)+(z^2/c^2) = 1 Homework Equations Volume of a rectangular box = x * y * z critical point formula. The...

ahh i got it now, thanks a bunch!

Homework Statement find the largest volume of a rectangular box that satisfies the following condition the sum of the height and horizontal perimeter does not exceed L Homework Equations critical point formula: system of equations must satisfy the following at critical values of x & y fx...

Ah I see, thank you.

Homework Statement infinity SIGMA sqrt(n) / ((n^2)(ln(n)) n = 2 Homework Equations The Attempt at a Solution Could i beat this into a p-series perhaps?

Homework Statement Find the closed form value for n SIGMA e^(i/n) i= 0 Homework Equations ? The Attempt at a Solution summation expands to 1 + e^(1/n) + e^(2/n) - - - - - e^1 To be honest i have no clue how to go about these kinds of problems so a general help would...