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In the air, there's nothing holding the body of the helicopter still - so the rotor blades spin one direction, but the torque applied to spin the rotors tries to spin the body of the helicopter in the opposite direction. The little rotor on the tail helps keep the body of the helicopter pointed in the same direction.
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Yes, if the angle between the two vectors is more than 90o but less than 2700. (cosΘ is negative)
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Congratulations Sachin!!