Find the angle between the planes whose vector equations are
`vecr.(2hati+2hatj-3hatk)=5` and `vecr.(3hati-3hatj+5hatk) = 3`.

Find the Cartesian equation of the plane whose vector equation is vecr.(3hati+4hatj-2hatk)=5 .

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

Find the shortest distance between the two lines whose vector equations are given by: vecr=hati+2hatj+3hatk+lamda(2hati+3hatj+4hatk) and vecr=2hati+4hatj+5hatk+mu(3hati+4hatj+5hatk)

The angle between hati and line of the intersection of the plane vecr.(hati+2hatj+3hatk)=0andvecr.(3hati+3hatj+hatk)=0 is

Find the direction cosines of the unit vector perpendcular to the plane vecr.(2hati+2hatj-3hatk)=5 and vecr.(3hati-3hatj+5hatk)=3

Find the Cartesian equations of the following planes whose vector equations are: vecr.(3hati+3hatj-4hatk)=0

Find the shortest distance between the lines l_(1) and l_(2) whose vector equation are vecr =lambda (2hati+ 3hatj+ 4hatk) and vecr=(2hati+3hatj)+mu(2hati+3hatj+ 4hatk)

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

Find the shortest distance between the lines l_(1)and l_(1) whose vector equations are vecr=(hati+hatj) + lambda (3hati + 4hatj - 2hatk) …(i) and vecr=(2hati+3hatj) + mu (6hati + 8hatj - 4hatk) …(ii)

Find the equation of the plane through the intersection of the planes. vecr. (hati+3hatj-hatk)=9 and vecr. (2hati-hatj+hatk)=3 and passing through the origin.