Vectors +Tangents # 2

Geometry Level pending

In the rectangular Cartesian system of coordinates O x y Oxy , a tangent is drawn to the curve y = 2 x y = 2\sqrt x at a point A ( x 0 , y 0 ) (x_0,y_0) , where x 0 = 1 x_0 = 1 . The tangent cuts the O x Ox axis at a point B . Find the scalar product of the vectors O A \vec{OA} and A B \vec{AB} .


The answer is -6.

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