The angle of intersection between a curve and a plane

usaplasticman
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Homework Statement



r(t)=(t^2+t)i+(t^3-4)j+(3-t)k

r(t) hits the xy plane at the point (12,23,0). Find the angle on intersection of r(t) with the xy plane at that point.

Angle=

Homework Equations



cosθ=(AxB)/lAllBl

The Attempt at a Solution



I find the answer was 0.0017 degree, but the answer was absolutely wrong...

please help me :)
 
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You haven't actually shown what you did. What did you use for A and B?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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