The equation of the plane containing the...

The equation of the plane containing the line `vecr = hati + hatj + lamda ( 2 hati + hatj + 4 hatk)` and origin is :

`vecr.(hati+2hatj-hatk)=3`

`vecr.(hati+2hatj-hatk)=6`

`vecr.(-hati-2hatj+hatk)=3`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PLANE AND STRAIGHT LINE IN SPACE
OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|33 Videos
MISCELLANEOUS EQUATIONS AND INEQUATIONS
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos
PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM
OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

Similar Questions

Explore conceptually related problems

The equation of the plane containing the line vecr=hati+hatj+lamda(2hati+hatj+4hatk) is

The vector equation of the plane containing he line vecr=(-2hati-3hatj+4hatk)+lamda(3hati-2hatj-hatk) and the point hati+2hatj+3hatk is

The equation of the plane containing the lines vecr=(hati+hatj-hatk)+lamda(3hati-hatj) and vecr=(4hati-hatk)+mu(2hati+3hatk) , is

If the point of intersection of the line vecr = (hati + 2 hatj + 3 hatk ) + lambda( 2 hati + hatj+ 2hatk ) and the plane vecr (2 hati - 6 hatj + 3 hatk) + 5=0 lies on the plane vec r ( hati + 75 hatj + 60 hatk) -alpha =0, then 19 alpha + 17 is equal to :

The angle between the line vecr = ( 5 hati - hatj - 4 hatk ) + lamda ( 2 hati - hatj + hatk) and the plane vec r.( 3 hati - 4 hatj - hatk) + 5=0 is

Find the vector equation of the plane in which the lines vecr=hati+hatj+lambda(hati+2hatj-hatk) and vecr=(hati+hatj)+mu(-hati+hatj-2hatk) lie.

The line whose vector equation are vecr =2 hati - 3 hatj + 7 hatk + lamda (2 hati + p hatj + 5 hatk) and vecr = hati - 2 hatj + 3 hatk+ mu (3 hati - p hatj + p hatk) are perpendicular for all values of gamma and mu if p equals :

Find the vector equation of the plane vecr = 2 hati + hatj - 3 hatk + lamda ( 2hatj +hatk) + mu(5 hati + 2 hatj + hatk) in scalar product form.

Find the points of intersection of the line vecr = (2hati - hatj + 2hatk) + lambda(3hati + 4hatj + 2hatk) and the plane vecr.(hati - hatj + hatk) = 5

OBJECTIVE RD SHARMA ENGLISH-PLANE AND STRAIGHT LINE IN SPACE -Chapter Test

The distance of the point having position vector -hat(i) + 2hat(j) + 6...
Text Solution
|
The position vector of the point in which the line joining the points ...
Text Solution
|
The two lines vecr=veca+veclamda(vecbxxvecc) and vecr=vecb+mu(veccxxve...
Text Solution
|
Lines vecr = veca(1) + lambda vecb and vecr = veca(2) + svecb will lie...
Text Solution
|
Equation of a line passing through (-1,2,-3) and perpendicular to the ...
Text Solution
|
Find the Vector and Cartesian equation of line passing through (1, -2,...
Text Solution
|
The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0...
Text Solution
|
Find shortest distance between the line vecr = (5hati + 7hatj + 3ha...
Text Solution
|
Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...
Text Solution
|
Find the equation of the plane through the points (2,2,1) and (9,3,6) ...
Text Solution
|
The equation of the plane containing the line vecr = hati + hatj + lam...
Text Solution
|
Find ten equation of the plane passing through the point (0,7,-7) and ...
Text Solution
|
Equation of the plane passing through the point (1,1,1) and perpendicu...
Text Solution
|
A variable plane at constant distance p form the origin meets the coor...
Text Solution
|
The equation of the line of intersection of the planes x+2y+z=3 and 6x...
Text Solution
|
Find the Cartesian form the equation of the plane vec r=(s-2t) hat i...
Text Solution
|
If the planes vecr.(2hati-lamda hatj+3hatk)=0 and vecr.(lamda hati+5ha...
Text Solution
|
The equation of the plane perpendicular to the line (x-1)/1=(y-2)/(-1)...
Text Solution
|
Find the equation of a plane which passes through the point (3, 2, ...
Text Solution
|
Determine the point in XY-plane which is equidistant from thee poin...
Text Solution
|