1. [25 points) {a} (15 points) Let a. and b be two arbitrary, nonzero vectors in R3, with their tails at the point PU, 1,1). Find a parametric equation of the line through P that bisects the angle between a. and h. Hint: The line will lie in the plane determined by a. and b. (b) [10 points) Find an equation of the plane that is parallel to the plane 2: + 3y + dz 2 2|] and contains the line r{t) =4: 2 + 5t,2 LEA t b