Given:

cr: canoe with respect to river

re: river with respect to earth

ce: canoe with respect to earth

First, for speed remember that in order to get , I need to have a velocity who subscript starts with c and ends with e. Thus:

Use Pythagorus theorem to find v_{ce} now:

Second, for direction, use tangent ratio:

Be careful though! When you get the angle, make sure you state the direction correctly. If you found the angle using this ratio:

Then direction is:The direction ofofThe direction of.