The image of the point P(1,3,4) in the plane 2 x-y+z+3=0 , is

Step-by-step solution

We know that, the image of the point (x₁, y₁, z₁ ) in the plane a x+b y+c z+d=0 is given by 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 So, the image of the point P(1,3,4) in the plane 2 x-y+z+3=0 is given by x-1 2 = y-3 -1 = z-4 1 = -2(2-3+4+3) 4+1+1 array ll & x-1 2 = y-3 -1 = z-4 1 =-2 & x=-3, y=5, z=2 array Hence, the required point is (-3,5,2) .