Find the distance of the point with posi...

Find the distance of the point with position vector `-hati-5hatj-10hatk` from the point of intersection of the line `vecr=(2hati-hatj+2hatk)+lambda(3hati+4hatj+12hatk)` and the plane `vecr*(hati-hatj+hatk)=5`.

Topper's Solved these Questions

Three Dimensional Geometry
MODERN PUBLICATION|Exercise EXERCISE|491 Videos
RELATIONS AND FUNCTIONS
MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
UNIT TEST-4
MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

Find the point of intersection of the line : vecr=(hati+2hatj+3hatk)+lambda(2hati+hatj+2hatk) and the plane vecr*(2hati-6hatj+3hatk)+5=0 .

Find the distance of the point (-1 , -5 , -10) from the point of intersection of the line vecr=2hati-hatj+2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr.(hati-hatj+hatk) =5.

Find the distance of the point (2,12,5) from the point of intersection of the line: vecr=2hati-4hatj+2hatk+lambda(3hati+4hatj+2hatk) and the plane vecr*(hati-2hatj+hatk)=0 .

Find the angle between the line vecr=(hati+2hatj-hatk)+lambda(hati-hatj+hatk) and the plane vecr.(2hati-hatj+hatk)=4 .

Find the angle between the line vecr=(hati-hatj+3hatk)+lambda(2hati-hatj+hatk) and the plane vecr.(hati+hatj+2hatk) =4.

Find the angle between the line vecr=(hati+hatj+hatk)+lambda(2hati-hatj-hatk) and the plane vecr.(hati+hatj-2hatk) =3.

Show that the line , vecr=2hati-3hatj+5hatk+lambda(hati-hatj+2hatk) lies in the plane vecr*(3hati+hatj-hatk)+2=0 .

Find the distance of the point (2, 3, -1) from the point of intersection of the line vecr=3hati+hatj-2hatk+lambda(3hati+6hatj+2hatk) and the plane vecr.(2hati-hatj+hatk) =3.

Find the angles between the line vecr=-hati+hatj+2hatk+lambda(3hati+2hatj+4hatk) and the plane vecr.(2hati+hatj-3hatk)+4=0

Show that the line , vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the plane vecr*(hati+2hatj-hatk)=3 .

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE

Show that the equation of the plane passing through a point having pos...
Text Solution
|
Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.
Text Solution
|
Find the distance of the point with position vector -hati-5hatj-10hatk...
Text Solution
|
Find the point, where the line joining the points (1,3,4) and (-3,5,2)...
Text Solution
|
Find the equation of the plane passing through the line of intersectio...
Text Solution
|
If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...
Text Solution
|
If O be the origin and the coordinates of P be (1, 2, – 3), then find ...
Text Solution
|
Find the equation of the plane which contains the line of intersection...
Text Solution
|
Prove that the S.D. between a diagonal of a rectangular parallelopiped...
Text Solution
|
What is the equation of the xy-plane?
Text Solution
|
If a line makes an angle alpha, beta, gamma with x axis, y axis and z ...
Text Solution
|
Write the direction cosines of the vector : 2hati+2hatj+3hatk
Text Solution
|
Find the vector equation of the line (x+4)/3=(y+3)/7=(z-5)/2
Text Solution
|
Find the equation of a st line through (3,1,-5) and equally inclined t...
Text Solution
|
The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ........
Text Solution
|
Find the distance of the plane x-3y+2z-8=0 from the origin.
Text Solution
|
Find the intercepts cut off by the plane x+4y-2z=8 with the axes.
Text Solution
|
Find the equation of the plane with intercept 9 on the y axis and para...
Text Solution
|
What is the point of intersection of the line x=y=z with the plane x+2...
Text Solution
|
Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:
Text Solution
|