Find an equation of the plane.
The plane through the points $ (2, 1, 2) , (3, -8, 6) $ and $ (-2, -3, 1) $
$$5 x-3 y-8 z=-9$$
Hello. The question is taken from victor's and geometry of the space. And The question is find the equation of the plane and the plane passing to the 3.2123 -86 and -2 -31. So let me right equation or plain passing to three points 212 3 -86 and 30s -2 -31 can be read Ernest. So let me write it days X -2 x -1 that minus two. And here three minus two minus eight minus 16 minus two and thirties minus two minus two minus three minus one and 1 -2 is equal to zero. So let me so always we get X -2 into they send this so we get- dining to minus when it's nine minus four into four minus 16. So here comes the plus sign plus 16 and the second one is minus by minus one into K -2 into 1 -2. So that will be -1 minus off -2 -2. It's -4 -4 in two plus 4 plus minus four Plus 4 16. So that will be plus 16. So plus that minus to win too -3 -1. That will be -4 into 1 -4 -9 in two -4. So that will be plus 36. Sofia we get -36 is equal to zero for those solving it. We get 25 x -50 minus y minus went into 15 Plus Zed -2 into -40 Is equal to zero. And further we get 25 weeks minus 50 -15. y plus 15 minus 40. 0 Plus 80 is equal to zero. And we get the value 25 weeks, okay -15 Y -4, visit 80 and 15 is 95 95 -50 45, so that will be 45 which is equal to zero. Taking five women, we get five weeks -3 Y ages eight plus nine is equal to zero. So the required answer for this question is five x minus three by- Exit is equal to -9 which is the required and some of discussion. Hope this clears your doubt and thank you.