Question

defina o plano que contem o plano A (2,-2,1) e cujo vetor normal n (1,-1,-1)

Answer 1

$AX \cdot n=0 \\ \\ (X-A) \cdot n=0 \\ \\ (x,y,z)-(2,-2,1) \cdot (1,-1,-1)=0 \\ \\ (x-2,y+2,z-1) \cdot (1,-1,-1)=0 \\ \\ x-2-y-2-z+1=0 \\ \\ \boxed{\boxed{\pi: x-y-z-3=0}}$