How Do You Calculate the Velocity of a Canoe Relative to a River?

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To calculate the velocity of a canoe relative to a river, the canoe's velocity is 0.520 m/s southeast, while the river flows at 0.460 m/s east. The components of the river's velocity vector are <0.460, 0> m/s, and the canoe's velocity components, based on a 45-degree angle, are approximately <0.707, 0.707> m/s. By subtracting the river's velocity vector from the canoe's velocity vector, the resulting velocity of the canoe relative to the river is <0.247, 0.707> m/s. The original poster confirmed their calculations and found the correct answer.
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Homework Statement



I have to find the magnitude of the velocity of vector Vcanoe/river of a canoe relative to the river.

The canoe has a velocity of 0.520 m/s southeast relative to the earth. The canoe is on the river that is flowing at 0.460 m/s east relative to the earth.

The angle made my both vectors is 45 degrees.


2. The attempt at a solution

I figured the components of the vector Vriver are <0.460,0> m/s
Components of the vector Vcanoe are approximately <0.707,0.707> m/s since we are working with a 45 degree angle.
Are my components correct?

I need subtract both vectors to get the Vcanoe/river.
I got <0.247,0.707> m/s. Yes?

I'm not sure if my components are correct and I'm not sure what to do afterwards.
Any help would be greatly appreciated!
 
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Nevermind!
I have found the answer! :D
 
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