What is the resultant average velocity (magnitude & direction)?

[nolingbeeling]

"A boat is moving due east across a river with a velocity of 4 feet per second. The river current is moving due south with a velocity of 3ft per second. What is the resultant average velocity (magnitude & direction) of the boat? Round to the nearest 10th."

I am not sure where to even start on this problem. This is for a precalculus class. Help to figure this out would be so appreciated!

 

[Ishuda]

"A boat is moving due east across a river with a velocity of 4 feet per second. The river current is moving due south with a velocity of 3ft per second. What is the resultant average velocity (magnitude & direction) of the boat? Round to the nearest 10th."

I am not sure where to even start on this problem. This is for a precalculus class. Help to figure this out would be so appreciated!

Vectors [in 2D] can be though of as ordered pairs (x,y) with magnitude \(\displaystyle \sqrt{x^2\, +\, y^2}\) and direction atan2(y,x), see
https://en.wikipedia.org/wiki/Atan2
for example.

So what is the vector of a boat moving due east with a velocity 4 ft/sec?
What is the vector of a boat moving due south with a velocity 3 ft/sec?
What is the sum of the two vectors?