1. Consider the position vector r = xi+yj+zk of a particle moving in some space curve defined by the following parametric equations: = 2+1, y = ²z=t+2₁ x=² i,j,k are the standard unit vectors in rectangular coordinates, x,y, and z are the rectangular position coordinates, and t is the time parameter. Determine: (a) the velocity vector v, (b) the acceleration vector a, (c) the unit tangent
1. Consider the position vector r = xi+yj+zk of a particle moving in some space curve defined by the following parametric equations: = 2+1, y = ²z=t+2₁ x=² i,j,k are the standard unit vectors in rectangular coordinates, x,y, and z are the rectangular position coordinates, and t is the time parameter. Determine: (a) the velocity vector v, (b) the acceleration vector a, (c) the unit tangent
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