MHB How Can We Geometrically Describe Vectors Orthogonal to the Vector $(-4,1,-3)$?

[mathmari]

Hey!

How could we describe geometrically the vectors that are orthogonal to the Vector $(-4,1,-3)$ ?

 

[I like Serena]

Hey!

How could we describe geometrically the vectors that are orthogonal to the Vector $(-4,1,-3)$ ?

Hey mathmari! (Smile)

It's the plane perpendicular to the vector that contains the origin.
Its equation is:
$$(x,y,z)\cdot (-4,1,-3)=0 \quad \Leftrightarrow \quad -4x+y-3z=0$$
(Mmm)

 

[mathmari]

Thank you very much! (Mmm)