Home
Class 12
MATHS
Find the equations of the planes that pa...

Find the equations of the planes that passes through three points. (a) `( b ) (c)(( d ) (e)1," "1," "" "1( f ))," "(( g ) (h)6," "4," "" "5( i ))," "(( j ) (k) " "4," "" "2," "3( l ))( m )` (n) (o) `( p ) (q)(( r ) (s)1," "1," "0( t ))," "((

Text Solution

AI Generated Solution

To find the equation of the plane passing through three points in 3D space, we can follow these steps: ### Given Points: 1. A(1, 1, -1) 2. B(6, 4, -5) 3. C(-4, -2, 3) ### Step 1: Check for Collinearity ...
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos
  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.2|17 Videos
  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos
  • VECTORS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the planes that passes through three points.(a)(1,1,-1),(6,4,-5),(-4,-2,3)

Find the equations of the plane that passes through three points (1,1,0),(1,2,1),(-2,2,-1).

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of the plane passing through the points (2,1,0),(5,0,1) and (4,1,1) .

Find the equation of the plane passing through the points A(2,1,-3), B(-3,-2,1) and C(2,4,-1) .

Find the vector equation of a plane passing through three points A(0, 0, 2), B(1, -1, 1), C(3, 4, 5) .

Find the vector equation of the plane passing through the points (1, 1, -1), (6, 4, -5) and (-4, -2, 3).

Find the vector equation of the plane passing through the points (1,1,0),(1,2,1)a n d(-2,2,-1)dot

Find the equation of the plane passing through the following points: (0,\ -1,\ 0),(3,\ 3,\ 0)a n d\ (1,\ 1,\ 1)dot

Find the equation of plane passing through three points A(0, 1, 2), B(3, 4, -1), C(2, 4, 2) in Cartesian form.