You drive a car 660 m to the east, then 400 m to the north. What is the magnitude of your displacement? Using a sketch, estimate the direction of your displacement. Verify your estimate with a numerical calculation of the direction.

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Explanation:

You walk 53m to the north, then you turn 60° to your right and walk another 45m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.