Find an equation for the plane that contains the point p(−1,3,5)p(−1,3,5) and has the normal vector n=2i+4j−3kn=2i+4j−3k.

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asked Jun 25, 2019 178k views

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Robert Byrne · Answer 1 · 2019-06-30T23:28:10+0000

Given a plane:
normal vector <2,4,-3>
passes through point (-1,3,5)

The equation of the plane is
Π : 2(x-(-1))+4(y-3)-3(z-5)=0
expand and simplify
Π : 2x+4y-3z+5=0

Find an equation for the plane that contains the point p(−1,3,5)p(−1,3,5) and has the normal vector n=2i+4j−3kn=2i+4j−3k.

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