Finding the equation of a plane passing through M points (1,3,0) and N (4,0,0) making an angle of 30 with the plane x + y + z -1=0
answer:
Hello,
It's not x,y,z.
Let
-->
Same here :
BUT, , be careful !
(1)
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Now, M(1,3,0) & N(4,0,0) are on the plane.
--> &
From the second one, .
Substituting in the first one :
.
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Letting (we can, as soon as it keeps the proportionality), we can write :
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Substituting in (1), we get :
So
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Equation of the plane is :
Multiplying by 5 :