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A simpler way to determine if two vectors are equivalent is to use their "components".  The vector from (8, 1) to (13, -1) has components 13- 8= 5 and -1- 1= -2.  The vector from (-2, 4) to (-7, 6) has components -7- (-2)= -5 and 6- 4= 2. These vectors are NOT equivalent because they point in opposite directions.


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