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MATH / Find the equation of the plane containing the points (0,−1,−1), (−4,4,4), and (4,5,1). Enter your answer in the form Ax+By+Cz+D=0,where A, B, C, D are integers such that A>0 and …

Problem

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problem

Find the equation of the plane containing the points (0,−1,−1),(0,-1,-1), (−4,4,4),(-4,4,4), and (4,5,1).(4,5,1). Enter your answer in the form Ax+By+Cz+D=0,Ax + By + Cz + D = 0,where A,A, B,B, C,C, DD are integers such that A>0A > 0 and gcd(|A|,|B|,|C|,|D|)=1.\gcd(|A|,|B|,|C|,|D|) = 1.
Plain-text mathematical notation (without MathML)
Find the equation of the plane containing the points (0,−1,−1), (−4,4,4), and (4,5,1).  Enter your answer in the form
Ax+By+Cz+D=0,where A, B, C, D are integers such that A>0 and gcd(|A|,|B|,|C|,|D|)=1.
Original LaTeX notation
Find the equation of the plane containing the points $(0,-1,-1),$ $(-4,4,4),$ and $(4,5,1).$  Enter your answer in the form
\[Ax + By + Cz + D = 0,\]where $A,$ $B,$ $C,$ $D$ are integers such that $A > 0$ and $\gcd(|A|,|B|,|C|,|D|) = 1.$

level

Level 4

type

Precalculus

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Source and history

task_id
b3ecdf24-d447-56f9-8938-26cacd537db6
task_key
precalculus--test--b3ecdf24-d447-56f9-8938-26cacd537db6
task_revision_id
1
config / split
precalculus / test

Official source

initial import