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# Find an equation of the plane.The plane through the point $(3, -2, 8)$ and parallel to the plane $z = x + y$

## $z=x+y+7$

Vectors

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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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.

IIT(BHU), Varanasi

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp