0

Guest

Courses New

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 4404 Points
5 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
25750 Points
5 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 ?

Other Related Questions on Analytical Geometry

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More