Hello, sorry for my Englich:D(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

I must count a line integral on the lenght which lies on the line which is defined by equations:

[tex]\begin{cases}x^2+y^2+z^2=R^2\\ \left(x-\frac{R}{2}\right)^2+y^2=\left(\frac{R}{2}\right)^2\end{cases}[/tex]

it is a column which is cutting a sphere

3. The attempt at a solution

I tried to assumption that [tex]x=t[/tex] and then depending on this find other functions [tex]y(t),z(t)[/tex], but the equations are not easy. I think I can find something with trigonometric functions sinus cosinus, but I am not sure; my question is then how I can easy and quickly find parametric equations of line which is make by two planes (in this case sphere and column) cutting each another? thanks for help!

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# Homework Help: Parametric equations of line in 3D space

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