Operations with Algebraic Vectors

The question that I am having trouble with is:

a) Find the point on the y-axis that is equidistant from the points (2,-1,1) and (0,1,3).

b) Find a point not on the y-axis that is equidistant from the points (2,-1,1) and (0,1,3).

I'm unsure of where to even start, so if anyone can give me any hints or suggestions that would be much appreciated! Please and thank you!

Re: Operations with Algebraic Vectors

Quote:

Originally Posted by

**misiaizeska** The question that I am having trouble with is:

a) Find the point on the y-axis that is equidistant from the points (2,-1,1) and (0,1,3).

b) Find a point not on the y-axis that is equidistant from the points (2,-1,1) and (0,1,3).

For part a):

find the y-intercept of the plane through (1,0,2) with normal <2,-2,-3>.

For part b), find any other point on that same plane.

Re: Operations with Algebraic Vectors