The image of the point (3,2,1) in the plane 2 x-y+3 z=7 is

Step-by-step solution

We know that image (x, y, z) of a point (x₁, y₁, z₁ ) in a plane a x+b y+c z+d=0 is aligned x-x₁ a & = y-y₁ b = z-z₁ c & = -2 (a x₁+b y₁+c z₁+d ) a^2+b^2+c^2 aligned Here, point is (3,2,1) and plane is array rlrl & 2 x-y+3 z=7 & & x-3 2 & = y-2 -1 = z-1 3 & = -2[2(3)-(2)+3(1)-7] 2^2+1^2+3^2 & x-3 2 & = y-2 -1 = z-1 3 =-2(0) & & x & =3, y=2, z=1 array