Linear Algebra Plane Question

robbie

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Jul 2, 2015
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The plane that passes through the point (3,5,2) and is perpendicular to both x+4z=0 and 5z(4x+5y)=7 has as its implicit equation.

How would you solve this? This is Linear Algebra I think.
 
The plane that passes through the point (3,5,2) and is perpendicular to both x+4z=0 and 5z(4x+5y)=7 has as its implicit equation.
Rewrite \(\displaystyle 5z-(4x+5y)=-7\) as \(\displaystyle 4x+5y-5z=7\). The norma is \(\displaystyle <1,0,4>\times <4,5,-5>\).
See here,
 
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