This is Calculus course especially about vectors. I need help with some questions. I also attached formula sheet in case you need it as a reference.

14. A boat crosses a river from point A to a point B directly across the river. The width of the river is 100m. The boat can travel at a speed of 12m/s relative to the water and the river is flowing at 3m/s. a) Draw a diagram to describe the situation. [A 2] b) Determine the direction that the boat should go so that it ends its journey at point B. [A 2] c) Determine the speed of the boat relative to the shore. [A 2]13. A plane is headed true bearing 030 at a speed of 400km/h. It encounters a wind of 75km/h blowing from the direction of true bearing 315. Use geometric vectors to determine the resultant velocity of the plane. Include a vector diagram. [4marks A]Formulas: a . b = lal|b|cose |axb = lallb|sine a a = lal scalar proja onto b = lalcose vector proja onto b = lalcose W = |d| |F|cose IT| = 171/F/sine Area of a paralellogram = lax b|