Ok, the question's like this...

The curves r1(t)=<t,t^2,t^3> and r2(t)=<sin t, sin 2t, t> intersect at the origin. Find their angle of intersection correct to the nearest degree.

Please help~it's an urgent...

Thank you so much!

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- Oct 29th 2009, 09:01 PMviolet8804angel of intersection between curves in 3D
Ok, the question's like this...

The curves r1(t)=<t,t^2,t^3> and r2(t)=<sin t, sin 2t, t> intersect at the origin. Find their angle of intersection correct to the nearest degree.

Please help~it's an urgent...

Thank you so much! - Oct 30th 2009, 05:05 AMHallsofIvy
Ah, yes! The angel of intersection!

Oh, wait, you mean "angle". That's not nearly as much fun!

The angle between two curves is the angle between their tangent lines at the point. You can find the tangent of those angles by taking their derivatives.

Then use $\displaystyle tan(\theta- \phi)= \frac{tan(\theta)- tan(\phi)}{1+ tan(\theta)tan(\phi)}$.