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Vector Magnitude from Components

Topic:
Vectors

Suppose a 6 mile/hr wind blowing FROM the west joins forces with an 8 mi/hr wind blowing FROM the west. What is the magnitude of the resultant? Towards what direction will it blow?

Suppose a 6 mile/hr wind blowing FROM the west meets an 8 mi/hr wind blowing FROM the east. What is the magnitude of the resultant? Towards what direction will it blow?

Suppose a 6 mile/hr wind blowing FROM the west meets an 8 mi/hr wind blowing FROM the north. What is the magnitude of the resultant? Towards what direction will it blow?

Suppose a plane flying due west at 600 mi/hr meets a wind blowing 200 mi/hr blowing directly from the north. If the pilot does nothing, how fast will the plane actually move? What direction will it be headed?