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Working with vectors - direction and velocity of a plane

An airplane flies at 65 meters per second in a direction 149 degrees counterclockwise from east. What are the east and north components of the plane's velocity? The book's answer is: -200 m/s for its east velocity and 120 m/s for its north velocity. Can you confirm whether this is correct and show its solution? The book does not show the solution.

Solution Preview

Please see the attached figure..

The component in the east ward direction is just the oppposite of the component in the westward direction.

We can determine the components in the north ...

Solution Summary

The solution gives all steps along with proper explanations so that you can solve similar problems yourself. All mathematical steps are clearly shown.