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The line 3x + 2y = 16 is the perpendicular bisector of the segment AB. Find...

The line 3x + 2y = 16 is the perpendicular bisector of the segment AB. Find coordinates of point B, given that (a) A = (-1, 3); (b) A = (0, 3).

If I want to solve this by doubling the vector it takes to get from point A to the line so that it reflects over the line, how do I solve this problem? How do you find the initial vector that gets you from point A to the line?

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