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# Calculating Displacement

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Question: In a yacht race the boats sail around three buoys. What is the displacement from the last buoy to the starting point? (a) unit vector notation (b) magnitude and direction?

From the origin to Buoy #1 is R1,
From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1)
From Buoy #2 to Buoy #3 is R3. (120 degrees clockwise from R2)
From starting point origin to Buoy #3 is R4=R1+R2+R3
Note: R3 is actually only 15 west of south.

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From the origin to Buoy #1 is R1,
From Buoy #1 to Buoy #2 is R2, (30 degrees clockwise from R1)
From Buoy #2 to Buoy #3 is R3. (120 degrees clockwise from R2)
From starting point origin to Buoy #3 ...

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