In the space rectangular coordinate system, the point a (1,0,2) B (1, - 3, - 1) m is on the Y axis, and the distance to a and B is equal In the space rectangular coordinate system, if the point a (1,0,2) B (1, - 3, - 1) m is on the Y axis and the distances to a and B are equal, then the coordinate of M is?

In the space rectangular coordinate system, the point a (1,0,2) B (1, - 3, - 1) m is on the Y axis, and the distance to a and B is equal In the space rectangular coordinate system, if the point a (1,0,2) B (1, - 3, - 1) m is on the Y axis and the distances to a and B are equal, then the coordinate of M is?

Let the coordinates of point m be (0, m, 0) (it's on the y-axis)
To make am = BM
Directly substitute the distance formula (1 ^ 2 + (- M) ^ 2 + 2 ^ 2) ^ (1 / 2) = (1 ^ 2 + (- 3-m) ^ 2 + (- 1) ^ 2) ^ (1 / 2)
The solution is m = - 1
M coordinate is (0, - 1,0)
(sorry, I don't have a mobile phone nearby. I can't send pictures.)

If the distance from a point m on the z-axis to a (1,0,2) and B (1, - 3,1) in the space coordinate system is equal, what is the coordinate of M and how to find it

I don't have a pen now. Let me tell you the method. Let m (0,0, z)
(1-0)^2+(0-0)^2+(2-z)^2=(1-0)^2+(-3-0)^2+(1-z)^2
The solution is Z = - 3, so the coordinates (0,0, - 3) are calculated orally and manually

What is the distance from the point P (- 2,3) to the origin in rectangular coordinates

Root 13

In Cartesian coordinates, the distance from point P (- 3,5) to the origin is

In Cartesian coordinates, the distance from point P (- 3,5) to the origin is (5.83)
5²＋3²=25＋9=34
In the rectangular coordinate system, the distance from the point P (- 3,5) to the origin = √ 34 ≈ 5.83