Question

Find the image of the line x-1/2=y-2/3=z-3/4 in the plane x+y+z=1.​

Answer 1

Step-by-step explanation:

Answer is (C) (x + 3)/3 = (y - 5)/1 = (z - 2)/-5

Since,

3(2) + 1 (-1) + (-5) (1) = 6 - 1 - 5 = 0

Therefore, line is parallel to the plane.

Now finding the image of point (1, 3, 4) in the plane. Let the image be (x1, y1, z1).

Therefore,

Therefore, required image of the line is

(x + 3)/3 = (y - 5)/1 = (z - 2)/-5

Answer 2

Step-by-step explanation:

given plane, x-1/2=you/3