Home
Class 12
MATHS
Find the equation of the plane passing t...

Find the equation of the plane passing through the point `(1, 1, 1)` and containing the line `vecr=(-3hati+hatj+5hatk+)lambda(3hati-hatj-5hatk)`Also, show that the plane contains the lines `vecr=(-hati+2hatj+5hatk)+lambda(hati-2hatj-5hatk)`

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the plane passing through the point (1,1,1) and containing the line vec r=(-3hati+hatj+5hatk)+lambda(3hati-hatj-5hatk) Also show that the plane contains the line vec r=(-hati+2hatj+5hatk)+lambda(hati-2hatj-5hatk) .

Show that the plane vecr.(hati-3hatj+5hatk)=7 contains the line vecr=(hati+3hatj+3hatk)+lambda(3hati+hatj)

Find the equation of the line passing through the point (1,-2,3) and perpendicular to the lines : vecr=(hati-2hatj+hatk)+lambda(hati+hatj+hatk) and vecr=(hati-hatj+2hatk)+mu(3hati-2hatj-5hatk)

Find the equation of the plane through the points A(2,1,-1) and B(-1,3,4) and perpendicular to the plane x-2y+4z=10 . Also, show that the plane thus obtained contains the line vecr=(-hati+3hatj+4hatk)+lambda(3hati-2hatj-5hatk) .

Find the vector and Cartesian quations of the plane passing through the point (3,-1,2) and parallel to the lines vecr=(-hatj+3hatk)+lambda(2hati-5hatj-hatk) and vecr.(hati-3hatj+hatk)+mu(-5hati+4hatj) .

Find the vector and Cartesian equations of the plane passing through the point (1,2,-4) and parallel to the lines vecr=(hati+2hatj+hatk)-lambda(2hati+3hatj+6hatk) and vecr=(hati-3hatj+5hatk)+mu(hati+hatj-hatk) .

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

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

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 and vecr.(hatj+2hatk)=0 and also passing through the point 2hati+hatj-hatk .