Question: This question has several parts. The two curves 71 ( t ) = ( -t + 4 ) i+(+2+ 4)j+tk T2 ($ ) = sits

 This question has several parts. The two curves 71 ( t

This question has several parts. The two curves 71 ( t ) = ( -t + 4 ) i+(+2+ 4)j+tk T2 ($ ) = sits j+ (s - 1) k 5/2 in the three dimensional space R intersect at the point P 25/4 3/2 1) The tangent vector at t = 0 tor] (t) is 1 it 1 j + 1 K. 2) The tangent vector at s = 0 to r2(s) is it 1 j + 1 k. 3) Find to so that r1 (to) = P and write your answer in the box below 1 4) Find so so that r2($0 ) = P and write your answer in the box below 5) Find the angle between between the two curves at the point of intersection P. Write the exact value of your answer in the box below using Maple Syntax (for example, if your answer is arccos COIN , type arccos ( 2/ 3 ) )

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