Finding the equation of the plan. Mediator of the segment of extreme A(1,-2,6) and B(3,0,0)

Answer:

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- Jun 29th 2008, 08:21 AMApprentice123Flat
Finding the equation of the plan. Mediator of the segment of extreme A(1,-2,6) and B(3,0,0)

Answer:

- Jun 29th 2008, 08:28 AMflyingsquirrel
- Jun 29th 2008, 08:36 AMMoo
Hello,

A mediator is perpendicular to the segment and passes throught the midpoint.

The coordinates of are

So the equation of the plan, which has as orthogonal vector, will be :

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With d to determine. And for this, you will have to use the fact that it goes throught the midpoint of AB.

Coordinates of the midpoint of [AB] : , that is to say .

This point is on the plane, so substitute and get d.

After that, divide the equation by 2. - Jun 29th 2008, 10:20 AMApprentice123
Thank you