Find the equation of the plane passing t...

Find the equation of the plane passing through the intersection of the planes ` vec rdot( (hat i+ hat j+ hat k)=1\ a n d\ vec rdot((2 hat i+3 hat j- hat k)+4=0` and parallel to x-axis.

Text Solution

AI Generated Solution

Topper's Solved these Questions

TANGENTS AND NORMALS
RD SHARMA ENGLISH|Exercise All Questions|244 Videos
VECTOR OR CROSS PRODUCT
RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the intersection of the planes vec rdot( hat i+ hat j+ hat k)=\ 6,\ vec rdot\ \ (2 hat i+3 hat j+4 hat k)=\ -5 and the point (1,1,1).

Find the vector equation of the plane passing through the intersection of the planes -> rdot( hat i+ hat j+ hat k)=6 and -> rdot(2 hat i+3 hat j+4 hat k)=-5 and the point (1, 1, 1).

Find the equation of the plane passing through the intersection of the planes vec r .(2 hat i+ hat j+3 hat k)=7, vec r.(2 hat i+5 hat j+3 hat k)=9 the point (2,1,3)dot

Find the equation of a plane through the intersection of the planes vec rdot( hat i+3 hat j- hat k)=5a n d vec rdot(2 hat i- hat j+ hat k)=3 and passing through the point (2,1,-2)dot

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)a n d vec rdot(3 hat i+ hat j+ hat k)=6.

Find the vector equation of the line passing through (1, 2, 3 ) and parallel to the planes vec rdot( (hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.

Find the equation of the plane passing through (a, b, c) and parallel to the plane -> rdot( hat i+ hat j+ hat k)=2 .

Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6\ a n d\ vec rdot((3 hat i+6 hat j-2 hat k)=9.

Find the equation of the plane passing through (a ,b ,c) and parallel to the plane vec r is dot( hat i+ hat j+ hat k)=2.

Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=1\ a n d\ vec rdot((- hat i+ hat j)=4 .

RD SHARMA ENGLISH-THE PLANE -All Questions

If the line -> r=\ ( hat i-2 hat j+ hat k)+lambda(2 hat i+ hat j+2 ha...
Text Solution
|
Find the equation of the plane passing through the line of intersectio...
Text Solution
|
Find the equation of the plane passing through the intersection of the...
Text Solution
|
Find the equation of the plane passing through the intersection of the...
Text Solution
|
Find the equation of the plane passing through the point A(1,\ 2,\ 1) ...
Text Solution
|
Find an equation or the line that passes through the point P(2,\ 3,\ 1...
Text Solution
|
Find the angle between the line -> r=(2 hat i+3 hat j+9 hat k)+lambda...
Text Solution
|
Find the angle between the line (x-1)/1=(y-2)/(-1)=(z+1)/1 and the pla...
Text Solution
|
Find the angle between the line joining the points (3,\ -4,\ -2)a n d\...
Text Solution
|
The line vec r= hat i+lambda(2 hat i-m hat j-3 hat k) is parallel to ...
Text Solution
|
Find the vector equation of the line through the origin which is per...
Text Solution
|
Find the equation of the plane passes through the point (2,3,-4) and (...
Text Solution
|
Find the Cartesian equation of the plane passing through the points...
Text Solution
|
Find the vector and Cartesian equations of the line passing through (1...
Text Solution
|
Prove that the line of section of the planes 5x+2y-4z+2=0\ a n d\ 2x+8...
Text Solution
|
Find the equation of the plane passing through the points (2, 2, -1) a...
Text Solution
|
Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...
Text Solution
|
Find the vector and Cartesian forms of the equation of the plane pas...
Text Solution
|
Find the equation of the plane passing through the point (3,4,1) an...
Text Solution
|
Find the coordinates of the point, where the line (x-2)/3=(y+1)/4=(z-2...
Text Solution
|