A Particle Is Traveling Along a Helix Whose Vector Equation $\mathbf { r } ( t ) = \langle R \cos \alpha t , R \sin \alpha t , \beta t \rangle$

Short Answer

A particle is traveling along a helix whose vector equation is given by $\mathbf { r } ( t ) = \langle R \cos \alpha t , R \sin \alpha t , \beta t \rangle$ . Show that its velocity and acceleration are orthogonal at all times.