The curves $\mathbf { r } _ { 1 } ( t ) = \left\langle t , t ^ { 3 } , t ^ { 9 } \right\}$ and $\mathbf { r } _ { 2 } ( t ) = \langle \sin t , \sin 5 t , t \rangle$ intersects at the origin. Find their angle of intersection correct to the nearest degree.

Question

Quizplus · Accepted Answer

The Answer is

79 ^ { \circ }

The Curves r1(t)=⟨t,t3,t9}\mathbf { r } _ { 1 } ( t ) = \left\langle t , t ^ { 3 } , t ^ { 9 } \right\}r1​(t)=⟨t,t3,t9}

The Curves $\mathbf { r } _ { 1 } ( t ) = \left\langle t , t ^ { 3 } , t ^ { 9 } \right\}$