Question

Please help..medal will be awarded

Answer 1

Find the vector equation of the line through the origin which is perpendicular to the plane r.(i-2j+k)=3.

Answer 2

given some point r on the plane, p+r will also be on the plane (and satisfy r.(i-2j+k)=3) where p.(i-2j+k)=0
thus p describes all vectors in the plane
thus (i-2j+k) is orthagonal to all vectors in the plane
thus (i-2j+k) is perpendicular to the plane
thus (x,y,z)=(1,-2,1)t is a parametric equation for a lane perpendicular to the plane, which also passes through the origin

Answer 3

Thank you!