Finding an equation for a plane containing 3 points

1. Sep 30, 2017

yecko

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

This is my attempt following the solution in the yahoo answer, yet it is incorrect...
Can anyone tell me if I have made mistake in any of the manipulation?
Any help is appreciated~~
Thanks!!!

2. Sep 30, 2017

Orodruin

Staff Emeritus
You should double check your algebra.

3. Sep 30, 2017

yecko

I just multiplied the whole equation by -3 and manipulated all the signs... after i checked several times, i still can't find what is wrong...

4. Sep 30, 2017

Orodruin

Staff Emeritus

Write out every step.

5. Sep 30, 2017

ehild

Check the determinant.

6. Oct 1, 2017

Staff: Mentor

@yecko, when you calculate a cross product, it's a good idea to make sure that the vector you get is actually perpendicular to the two input vectors you're working with. This can be done very quickly, using the dot product. In the work you did, your calculated cross-product is <2, 2, -1>. This vector isn't perpendicular to either of the other two vectors, which means your calculation is incorrect.