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Problem 28 Easy Difficulty

Find an equation of the plane.

The plane through the point $ (3, -2, 8) $ and parallel to the plane $ z = x + y $

Answer

$z=x+y+7$

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Video Transcript

Hello. So the question is taken from vectors and geometry of space. And the question is find the equation of playing that passing 23 -2 we ate and paddle to the planes. That is equal to express why? So the equation of playing passing to 3 -28 and yes belen to the plane there it is equal to express. Why can be have you done as X plus y minus Z plus lambda is equal to zero? Since the plane passing through three minus two and eight substituting this value in the equation wicked Access three Why is -2 and there is a uh minus of eight plus lambda is equal to zero. So lambda will be equal to three minus two minus one. 1 -80 is -7. Okay so that equation will be X plus y minus eight minus seven. Is it called to 0? Which is the required equation of plane? So I hope this clears you down then.