Prove that the line of section of the pl...

Prove that the line of section of the planes `2x-y+z=4` and `5x+7y+2z=0` meets the plane `3x+4y-2z+3=0` in a single point. Find the cooridnates of that point.

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos
RELATIONS AND FUNCTIONS
PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos
VECTORS
PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

Prove that the line of section of the planes 5x+2y-4z+2=0 and 2x+8y+2z-1=0 is parallel to the plane 4x-2y-5z-2=0.

Find the angle between the planes 2x+y+z-1=0 and 3x+y+2z-2=0 ,

Find the angle between two planes 2x+y-5z=0 and 4x -3y+7z=0

What is the point of intersection of the line x=y=z with the plane x+2y+3z=6 ?

Find the angle between the lines in which the planes: 3x-7y-5z=1, 5x-13y+3z+2=0 cut the plane 8x-11y+2z=0 .

Find the intercepts of the plane 2x-3y+4z-24=0 on the cooridnate axes.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE

Prove that the line of section of the planes 2x-y+z=4 and 5x+7y+2z=0 m...
Text Solution
|
Find the points on z-axis which are at a distance of sqrt21 from the p...
Text Solution
|
Find k so that the distance between the points (7, 1, - 3) and (4,5, k...
Text Solution
|
Find the point on x-axis which is equidistant from the point (1,3,2) a...
Text Solution
|
Find the point which is equidistant from the points (a,0,0),(0,b,0),(0...
Text Solution
|
Show that the points (2,4,3),(4,1,9) and (10,-1,6) are the vertices of...
Text Solution
|
Find the locus of a point which is equidistant from the points (3,2,1...
Text Solution
|
Find the point in the XY-plane which is equidistant from the points (2...
Text Solution
|
Prove that the point A (0,0,0),B(2,0,0),C(1,sqrt3,0) and D(1,1/sqrt3, ...
Text Solution
|
Find the coordinates of the point which divides the join of the points...
Text Solution
|
Find the points on the line segment PQ situated at 2/3 of the distan...
Text Solution
|
Find the points on the line segment PQ situated at 2/3 of the distan...
Text Solution
|
If A and B are two points whose position vectors are 3hati+2hatj-2hatk...
Text Solution
|
If A and B are two points whose position vectors are 3hati+2hatj-2hatk...
Text Solution
|
Find the coordinates of the point which is three fifth of the way (3,4...
Text Solution
|
Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-...
Text Solution
|
If A and B are the points (-3,4,-8) and (5,-6,4) respectively, find th...
Text Solution
|
Using section formula, prove that the three points (-2,3,5),(1,2,3) an...
Text Solution
|
Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) ...
Text Solution
|
Using vectors, show that the medians of a triangle are concurrent.
Text Solution
|
Prove that the points A(5,0,2), B(2,-6,0),C(4,-9,6) and D(7,-3,8), tak...
Text Solution
|