Find the value of λ for which the given planes are perpendicular to each other:
(i) and
(ii) and
For planes perpendicular Cos90°=0
(1)
(i)On comparing with the standard equation of a plane
2.3 + (-1).2 + (-λ).2=0
6-2-2λ=0
2λ=4
λ=2
(ii) On comparing with the standard equation of a plane
λ.1 + 2.2 + 3.(-7)=0 λ + 4-21=0 λ=17