Solve Stationary Radar Homework: Find Ship's Velocity

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To solve the problem of determining the ship's velocity, first establish the initial and final positions of the ship using coordinates. The ship starts at (0, -12) km and moves to a position approximately (7.07, -10) km after one hour. The distance traveled can be calculated using the Pythagorean theorem, and the direction can be expressed using unit vectors in the i (east-west) and j (north-south) directions. The velocity can then be found by dividing the displacement vector by the time taken. A clear diagram can aid in visualizing the positions and directions involved in the problem.
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Homework Statement


A stationary radar operator determines that a ship is 12 km south of him. An hour later the same ship is 10 km southeast. If the ship moved at constant speed and always in the same direction, what was its velocity during this time?

This is so easy but I am just so confused about how to solve it.
 
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Draw a diagram.
Find the two points and draw a line joining them - from the triangle you can find the length of the line (it's even a right angle to make it easier!)
 
I drew the diagram, but I couldn't find a right angle anywhere. Where is this right angle? I need to find the i and j unit vectors, but how?
 
There is a line from the ship due south (ie down the page)
Then a line from the ship southeast ( 45deg down-left)
Then you have a line joining them - that's the path of the ship - you just need to find the length of this line
 
How would I find this in i and j vectors?
 
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