1. The problem statement, all variables and given/known data A swimmer located at point A needs to reach a point B 20 meters downstream on the opposite bank of a 10 meter wide river. The river flows horizontally at a rate of 0.5 meters/second, and the swimmer has a constant speed of 0.25 meters/second. Set up the vector equations needed to determine the velocity vector of the swimmer, then determine the velocity vector of the swimmer. 2. Relevant equations Length: ||s|| = sqrt( s12 + ... + sn2) 3. The attempt at a solution I do not know why this question has given me so much trouble, as all the others have went relatively well. I know that: *speed is the length of the velocity vector, *the swimmer's x-component of velocity is (I think) <0.25cos(theta) , 0 > (this is the component for the current, but I know something is not right when I try to take the magnitude and it does not come out as 0.5, but I do not know what else to do to it.) *the swimmer's y-component of velocity is (I think) <0, 0.25sin(theta)> *Together, these give the swimmer a velocity, relative to the ground, <0.25cos(theta), 0.25sin(theta)> which seems to be correct when the length is evaluated. Also, I used the length and width of the river to find the angle. Is all of this wrong? Is there something blatantly obvious that I am missing? I am just at a loss and have spent hours on this question. Any help would be very much appreciated.