I recently have been teaching myself vector calculus online, i am by no means a master but i get the general concepts. I know you can use it to solve the motion of a particle in a fluid and was curious as to whether it can be used to solve simple physics problems, involving current and wind. Here is a sample question i got for homework: A river ﬂows due east at 2.32 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 13.5 m/s due north relative to the water. If the river is 322 m wide, how far downstream is the boat when it reaches the north shore? How many degrees oﬀ course is the boat forced by the current? Answer in units of ◦ Using Trig my (correct) answer is 13.69789765 m and 9.7511 degrees. Is there a way I could have found one of these answers using vector calculus? I don't care how unnecessarily complex it is, its fun! P.S. i am familiar with line integrals so that wont be a problem Thanks!