Question:
The equation of the plane passing through the point $(1,2,-3)$ and perpendicular to the planes $3 x+y-2 z=5$ and $2 x-5 y-z=7$, is
Correct Option: , 3
Solution:
Normal vector :
So drs of normal to the required plane is
$<11,1,17>$
plane passes through $(1,2,-3)$
So eq $^{\mathrm{n}}$ of plane :
$11(x-1)+1(y-2)+17(z+3)=0$
$\Rightarrow \quad 11 x+y+17 z+38=0$
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