Checking Over a Calculus 3 Problem

Question

A plane Q is defined by the equation 4(x-8)+3(y-7)-5(z+2)=0.

 

Give the most obvious example a point P lying on the plane Q.

 

I believe this to be (8,7,-2) 

 

Then the next part asks for the most obvious example a vector w orthogonal to the plane Q.

 

Would this be (4,3,-5) or is that dealing with parallel lines?

Answer 1

Yes, that is correct.  I would use the notation <4,3,-5> for the vector to distinguish it from the point (4,3,-5).