Consider the three planes x+ y -z = 0 3x -3y + z = 0 4x + y -2z = 0 Find the intersection of these three planes.
Equation of planes a
Three planes intersect at a point provided they are not parallel.
adding (i) to (ii)
adding -2 times(i) to (iii) ,we have
(iv) is multiple of (v) ,so we have
let x=k some real nos.
substituting these value in (i) ,we have
Thus pont of intersection of these three planes are
(k,2k,3k) , k is real numbers.