FOR THE PARAMETRIZED PATH r(t)=e^tcos(?t)i+e^tsin(?t)j+e^tk
a) find the velocity vector, the unittangent vector and the arc lenght between t=0 and t=1
b) find a point where the path given by r(t)intersects the plane x-y=0 and determine the angle of intersectionbetween the tangent vector to the curve and the normal vector tothe plane.