Home
Class 12
MATHS
Find the vector and cartesion equations ...

Find the vector and cartesion equations of a plane containing the two lines `vec r=2hatj+hatj-3hatk+lambda(hati+2hatj+5hatk)` and `vec r=3hati+3hatj+2hatk+mu(3hati-2hatj+5hatk)`.Also show that the line `vec r=2hati+5hatj+2hatk+p(3hati-2hatj+5hatk)` lies in the plane.

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the vector and Cartesian equations of a plane containing the two lines vecr=(2hati+hatj-3hatk)+lambda(hati+2hatj+5hatk) and vecr=(3hati+3hatj+2hatk)+mu(3hati-2hatj+5hatk) .

Find cartesian equations of the plane containing the lines: vecr=2hati+hatj-3hatk+lambda(hati+2hatj+5hatk) and vecr=3hati+3hatj-7hatk+mu(3hati-2hatj+5hatk)

Find the vector and cartesian equations of the plane containing the lines: vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(-2hati+3hatj+8hatk) .

Find the vector and the Cartesian form of the equation of the plane containing two lines: vecr=hati+2hatj-hatk+lamda(2hati+3hatj+6hatk) and vecr= 3hati+3hatj-5hatk+mu(-2hati+3hatj+8hatk)

Find the vector and catesian equations of the plane containing the lines : vec(r) = 2 hati + hatj - 3 hatk + lambda (hati + 2 hatj + 5 hatk ) and vec(r) = 3 hati + 3 hatj - 7 hatk + mu (3 hati - 2 hatj + 5 hatk ) .

Find the vector and cartesian equations of the plane containing the lines : vec(r) = hati + 2 hatj - 4 hatk + lambda (2 hati + 3 hatj + 6 hatk) and vec(r) = 3 hati + 3 hatj - 5 hatk + mu (-2 hatj + 3 hatj + 8 hatk) .

The equation of the plane containing lines barr=hati+2hatj-hatk+lambda(hati+2hatj-hatk) and barr=hati+2hatj-hatk+mu(hati+hatj+3hatk) is

Find the shortest distance vecr=hati+2hatj+3hatk+lambda(hati-3hatj+2hatk)and vecr= 4hati+5hatj+6hatk+mu(2hati+3hatj+hatk) .