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The Helix r1(t)=2costi+sintj+tk\mathbf { r } _ { 1 } ( t ) = 2 \cos t \mathbf { i } + \sin t \mathbf { j } + t \mathbf { k }

question 91

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The helix r1(t)=2costi+sintj+tk\mathbf { r } _ { 1 } ( t ) = 2 \cos t \mathbf { i } + \sin t \mathbf { j } + t \mathbf { k } intersects the curve r2(t)=(2+t)i+10t2j+9t3k\mathbf { r } _ { 2 } ( t ) = ( 2 + t ) \mathbf { i } + 10 t ^ { 2 } \mathbf { j } + 9 t ^ { 3 } \mathbf { k } at the point (2,0,0)( 2,0,0 ) . Find the angle of intersection.

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