Question

a plane contains points p(4,0,0) q (0,5,0) and r(0,0,2)
a - sketch the plane
b - find a vector perpendicular to the plane

Answer 1

I don't know about sketching it, but if you want a vector perpendicular to it you need to find two vectors, \(\vec u\) and \(\vec v\) that lie in the plane
you can do that by finding the vectors between the various points with a common vertex

Answer 2

so here are our three points
if we can find\[\vec u=\overrightarrow{pq}=p-q\]and\[\vec v=\overrightarrow{qr}=r-q\]