please also explain each step you do in sentences to help me understand why you did what you did and how to do it better!

(3} Consider the vectors u = (2,0, l) 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. ((1) Write the scaled vector 9v as the sum of a vector parallel to u and a vector perpen- dicular to u. [2+3+3+2=10 marks]