Arc Length and Curvature (3D vectors)
Let C be the curve of intersection of the parabolic cylinder x2 = 2y, and the surface 3z = xy. Find the exact length of C from the origin to the point (5, 25/2, 125/6).
My instructor told us to put those equations in parametric form so we could use the arc length formula, but I am not sure how to put those in that form.
I know that these are the equations I must use, but how do I solve for t from the 2 equations I'm given??
x = x_o - at
y= y_o - bt
z = z_o - ct