Question

Determine o vetor unitário ortogonal aos vetores V1= (-1,-1,0) e V2= (0,-1,-1)

Answer 1

(a,b,c).(-1,-1,0)=0 ==> -a-b=0 ==>a=-b

(a,b,c).(0,-1,-1)=0 ==>-b-c=0 ==> c=-b

(a,b,c)=(-b,b,-b) = b * (-1,1,-1) ==> (-1,1,-1) é o vetor ortogonal

| (-1,1,-1)| = √[(-1)²+1²+(-1)²] =√3

$[tex] vetor \\unitario \\ortogonal\\ ==>$

$(\frac{-1}{\sqrt{3}} , \frac{1}{\sqrt{3}} ,\frac{-1}{\sqrt{3}} )$ [/tex]