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The nose of an ultralight plane is pointed south, and its airspeed indicator shows 36 m/s . The plane is in a 16 m/s wind blowing toward the southwest relative to the earth.

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Letting *x* be east and *y* be north, find the components of v_{P/E} (the velocity of the plane relative to the earth).

Find the magnitude of v_{P/E}.

Find the direction of v_{P/E}.

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