Compute each part of given question:
Question: Vector A has a magnitude of 12.4 units and points due west. vector B points due north.
Part I: What is the magnitude of B if A+B has a magnitude of 16.9 units?
Part II: What is the direction o f A+B relative to due west?
Part III: What is the magnitude of B if A-B has a magnitude of 16.9 units?
Part IV: What is the direction of A-B relative to due west?
Please show work on how to solve and give diagrams.