Find the Cartesian equation of the following planes: (a)vector r(i+j-k)=2 (b) vector r(2i+3j-4k)=1 (c) vector r[(s-2t)i+(3-t)j+(2s+t)k]=15

Question

Find the Cartesian equation of the following planes:

(a) vector r(i+j-k)=2    (b)  r(2i+3j-4k)=1

(c) vector r[(s-2t)i+(3-t)j+(2s+t)k]=15

Answer 1

(a) It is given that equation of the plane is

This is the Cartesian equation of the plane.