Let . $\mathbf { r } ( t ) = \langle \cos 2 t , \sin 2 t , 3 \rangle$ . Compute the tangent vector $\mathbf { r } ^ { \prime } ( t )$ and show that it is always orthogonal to $\mathbf { r } ( t )$ .

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The Answer of Let . $\mathbf { r } ( t ) = \langle \cos 2 t , \sin 2 t , 3 \rangle$ . Compute the tangent vector $\mathbf { r } ^ { \prime } ( t )$ and show that it is always orthogonal to $\mathbf { r } ( t )$ .

Let r(t)=⟨cos⁡2t,sin⁡2t,3⟩\mathbf { r } ( t ) = \langle \cos 2 t , \sin 2 t , 3 \rangler(t)=⟨cos2t,sin2t,3⟩

Let $\mathbf { r } ( t ) = \langle \cos 2 t , \sin 2 t , 3 \rangle$