Understanding Airfoil Wingtip Effects on Lift & Drag

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When an air passes over the wingtip of the airfoil, the upwash created at the leading edge 'reduces' the Angle of Attack, thus reducing lift. So why does this affect increase induced drag. The way I understand it, the greater the AoA (more lift), the more induced drag that is generated.

Help would be appreciated,
thank you.
 
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It is a matter of examining the lift vector. The rearward component of the lift vector, IS by definition, induced drag. As AOA increases, the lift vector points further and further rearward.

With more facing the rear, less faces upward...reduced lift. :)