00:01
Okay, the basic tool for us to deal with this question is first assume c, that's cool, with coordinate x, y, z.
00:15
Assume c just satisfy our distance, that means the distance between c and a is equal to the distance between c and b.
00:28
Okay, i just use the formula of distance between two points, we get the distance between c and a will be equal to x minus plus 1 to the power 2 plus y minus 5 to the power 2 plus z minus 3 to the power 2.
00:50
Okay, the square root of this summation is just the distance for the first term.
00:57
For the second term, use the same formula.
01:00
Okay, just write our equation here will be equal to x minus 6 to the power 2 plus y minus 2 to the power 2 plus z plus 2 to the power 2.
01:22
Okay, as you see, so all the points that satisfy our requirements actually satisfy this equation.
01:36
Okay, and then to describe this step, what we need to do is to simplify this equation...