# Calculus 3

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Vectors

The thrust of an airplane's engine produces a speed of 400 mph in still air. The wind velocity is given by
<-20,30>. In what direction should the plane travel to fly due south? Give your answer as an angle from due south.

• Calculus 3 -

The airplane velocity should be
(20,-a) where a=sqrt(400^2-20^2)

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