Finding equation of a plane with 3 points

[uzman1243]

Homework Statement

Homework Equations

N/A

The Attempt at a Solution

The problem is that I don't get the right answer which is:
2x + y + 7z = -3.

Can you please help me find where I went wrong?

 

[mfb]

Can you explain what you calculated there?

 

[SammyS]

Homework Statement

[IMG ]https://www.physicsforums.com/attachment.php?attachmentid=68806&stc=1&d=1397897233[/PLAIN]

Homework Equations

N/A

The Attempt at a Solution

The problem is that I don't get the right answer which is:
2x + y + 7z = -3.

Can you please help me find where I went wrong?

You calculated the cross-product incorrectly.

$\left( -2 + 0 \right)\hat i \ne 0\hat i$

$\hat k \left( \ (1) (-3) - (-2)(-2)\ \right)\ne \hat k \left(-3 + 4 \right)$