Consider the vectors u = (2,0,-1) and v = (5,2,-5). (a) Calculate the scalar projection of v in the direction of u. (b) Calculate the vector projection of v in the direction of u. (c) Write v as the sum of a vector parallel to u and a vector perpendicular to u. (d) Write the scaled vector 9v as the sum of a vector parallel to u and a vector perpen- dicular to u.