Guest

Image of (1,2,3 )in a plane is (3,4,5 ) find equation of plane

Image of (1,2,3 )in a plane is (3,4,5 )
find equation of plane

Grade:12

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
3 years ago
find the perpendicular vector to the plane by joining points
(1,2,3) and (3,4,5,) also find the mid point (2,3,4,) that lies on the plane now find equation of plane by using there two
Arun
25757 Points
3 years ago
 
Dear student
 
Normal vector to plane is
(3-1) i + (4-2) j + (5-3) k
 = 2i + 2j + 2k
 
now
equation of plane will be like
 
2x + 2y + 2 z = d
 
now it passes through (2,3,4)
 
hence
 
4 + 6 + 8 = d
 
d = 18
 
hence equation of plane is
 
x + y + z = 9

Think You Can Provide A Better Answer ?