Observe the figure, u represented by directed line segment from to , and v represented by directed line segment from to and both are same direction.
(Write distance formula)
(Substitute: )
(Simplify)
(Write distance formula)
(Substitute: )
(Simplify)
(Write slope formula)
(Substitute: )
(Simplify)
(Write slope formula)
(Substitute: )
(Simplify)
The magnitude of u and v is same (), the slope of u and v is same
() and its direction is same, so they are equal.
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