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## Homework Statement

Find an equation of the set of all points equidistant from the points A(-1,5,3) and B(6,2,-2). Describe the set

## Homework Equations

dot product

cross product

## The Attempt at a Solution

the book found the line: 14x - 6y - 10z = 9 which is perpendicular and i guess cuts in half way between the two dots.

i know that u take 2 lines and multiply them using dot product and it needs to equal 0 for them to be perpendicular. but i only know how to do that with 2 lines with endpoints... idk how to do this since i have 2 end points and i need to figure out an equation.

if any1 can explain how the book got that equation or even explain how to get any correct answer, that would definitely help. thanks