Find the vector equation of the plane w...

Find the vector equation of the plane which is at a distance of `6/(sqrt(29))`from the origin and its normal vector from the origin is `2 hat i-3 hat j+4 hat k`. Also find its cartesian form.

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 plane which is at a distance 4/(sqrt(14)) from the origin and is normal to vector 2 hat i+ hat j-3 hat kdot

Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is 2 hat i-3 hat j+6 hat kdot

Find the vector equation of a plane which is at a distance of 8 units from the origin and which is normal to the vector 2 hat i+ hat j+2 hat kdot

Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 5 units from the origin and which is normal to the vector hat i-2 hat j-2 hat kdot

Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector 3 hat i+5 hat j-6 hat k .

Find the vector equation of a plane at a distance of 5 units from the origin and has hat i as the unit vector normal to it.

Find a unit vector in the direction of vec a=2 hat i-\ 3 hat j+6 hat k

Find the unit vector in the direction of 3 hat i-6 hat j+2 hat k .

Find the equation of plane in Cartesian form which is at a distance of 5 unit from origin and its normal vector from origin is parallel to a vector formed by joining points A(1, 2, 3) and B(3, -4, -6).

RD SHARMA ENGLISH-THE PLANE -All Questions

The direction ratios of the perpendicular from the origin to a plane ...
Text Solution
|
Find a normal vector to the plane x+2y+3z-6=0
Text Solution
|
Find the vector equation of the plane which is at a distance of 6/(sq...
Text Solution
|
Find the distance of the plane 2x 3y + 4z 6 = 0from the origin.
Text Solution
|
Find the vector equation of the plane passing thrugh the points (2,5,-...
Text Solution
|
Find the vector equation of the plane passing through the points (1, ...
Text Solution
|
Show that the planes 2x+6y-6z=7\ a n d\ 3x+4y+5z=8 are at right angles...
Text Solution
|
Find the vector equation of the plane passing through the points (2,...
Text Solution
|
Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=...
Text Solution
|
Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6...
Text Solution
|
Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=...
Text Solution
|
Find the angle between the plane: 2x-y+z=4\ a n d\ x+y+2z=3
Text Solution
|
Find the angle between the plane: x-y+z=5\ a n d\ x+2y+z=9
Text Solution
|
Find the angle between the two planes 2x + y-2z = 5and 3x- 6y-2z = 7...
Text Solution
|
Find the angle between the plane: x+y-2z=3\ a n d\ 2x-2y+z=5 .
Text Solution
|
Find the angle between the plane: 2x-3y+4z=1\ a n d-x+y=4.
Text Solution
|
Show that the following planes are at right angle: vec rdot((2 hat i-...
Text Solution
|
Show that the following planes are at right angle: x-2y+4z=10\ a n d\ ...
Text Solution
|
Determine the value of lambda for which the following plane are perpen...
Text Solution
|
Determine the value of lambda for which the following plane are perpen...
Text Solution
|