b.) give the angle between vectors a=3i-j+5k and b=i+2j (Give anexact expression for your answer and then approximate to thenearest degree.)
c.)Let P be the point with polar coordinates (3,2pi/3). Give apolar coordinate representation (r,?)for P with -pi/2<=?<=pi/2
i. Identify the trace of the surface in the plane y = 1.(i.e., Is it an ellipse, a circle, a
parabola, a hyperbola, etc?)
ii. Identify the trace of the surface in the plane x = 1.(i.e., Is it an ellipse, a circle, a
parabola, a hyperbola, etc?)
iii. Identify the surface. (i.e., Is this an ellipsoid,paraboloid, cone, hyperboloid of one
sheet, etc?)
