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Angles Between Planes and Bisectors
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Find the planes bisecting the acute angle between the planes $x-y+2x+1=0$ and $2x+y+z+2=0$
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A
$x+z+1=0$
💡 Explanation:
Given planes are $x-y+2{z}+1=0,2{x}+y+z+2=0$
The plane bisecting the acute angle between the planes will be $\dfrac{x-y+2{z}+1}{\sqrt{1+1+4}}=-\dfrac{2{x}+y+z+2}{\sqrt{4+1+1}}$
$\implies x+z+1=0$