Vector direction

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I have a vector in the 2nd Coordinate of the Cartesian plane. I want to know that how can I find out the direction of the vector that whether it is towards the origin or away from it whether its in increasing direction of Y-Coordinate or in the decreasing direction of Y-Coordinate.

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1) If you only know the second coordinate and not the first, you cannot know if the vector points to or away the origin.

2) If you have a function that describes the y coordinate (but you didnt tell which on it is), you can know if it grows or not in the y-coordinate