OpenStudy (itiaax):

3 years ago
OpenStudy (itiaax):

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

3 years ago
OpenStudy (anonymous):

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

3 years ago
OpenStudy (itiaax):

Thank you!

3 years ago