1. The problem statement, all variables and given/known data r(t) = sin t (i) + cos t (j) + t (k) (a) Graph the vector function i = x j = y k = z Is this correct. Since t is in the Z direction. I'm going to assume that this graph is parallel to the XY plane. Now I'll take x = sin t y = cost t Then if you square both of these functions. so then we get x^2 + y^2 = (sin t) ^ 2 + (cos t) ^ 2 Then this becomes x^2 + y ^2 = 1 So it's a circle. Right. Is it going to be a spring or coil on the z - axis.