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#### jessicajx22

##### New member

- May 28, 2019

- 1

I have no idea how to do it, all help will be appreciated.

- Thread starter jessicajx22
- Start date

- Thread starter
- #1

- May 28, 2019

- 1

I have no idea how to do it, all help will be appreciated.

- Admin
- #2

- Mar 5, 2012

- 8,713

Hi Jessica, welcome to MHB!

I have no idea how to do it, all help will be appreciated.

A plane can be determined by 3 points that are in the plane.

So let's see if we can find 3 such points.

Obviously plane 1 contains point A(2,1,1).

So we need to use (x-1)/2 = (y-2)/3 = (z+4)/1 to find 2 more points.

Suppose each of them is 0. Then we must have x=1, y=2, z=-4. That is because for instance (1-1)/2=0.

Alternatively, if each of them is 1, then we must have x=3, y=5, z=-3, don't we?

Now we have 3 points in plane 1.

Do you already know what a scalar equation of a plane is?

And perhaps how to find it based on 3 points?