Solve the following problem:
Problem: Consider three vectors, A, B and C. Vector A has components Ax=2, Ay= 3. Vector B has components Bx=-3, By=-2, and vector C has components Cx=7, Cy=-2.
Part A: What is the magnitude of the vector sum |A+B+C|?
You must show your work in an efficient manner so I can understand it in clearly.