If `vecr=(hati+2hatj+3hatk)+lambda(hati-hatj+hatk)` and `vecr=(hati+2hatj+3hatk)+mu(hati+hatj-hatk)` are two lines, then the equation of acute angle bisector of two lines is

If vecr=(hati+2hatj+3hatk)+lamda(hati-hatj+hatk) and vecr=(hati+2hatj+3hatk)+mu(hati+hatj-hatk) are two lines, then find the equation of acute angle bisector of two lines.

Show that the lines vecr=(2hatj-3hatk)+lambda(hati+2hatj+3hatk) and vecr = (2hati+6hatj+3hatk)+mu(2hati+3hatj+4hatk) are coplanar. Also the find the equation of the plane passing through these lines.

The lines vecr=(2hati-3hatj+7hatk)+lamda(2hati+phatj+5hatk) and vecr=(hati+2hatj+3hatk)+mu(3hati-phatj+phatk) are perpendicular it p=

The lines vecr=(hati+hatj)+lamda(hati+hatk)andvecr=(hati+hatj)+mu(-hati+hatj-hatk) are

The lines barr=hati+2hatj+3hatk+lambda(hati+2hatj+3hatk)andbarr=-2hatj+hatk+lambda(2hati+2hatj-2hatk) are

Show that the line vecr = (hati+hatj-hatk)+lambda(3hati-hatj) vecr = (4hati-hatk)+mu(2hati+3hatk) are coplanar. Also find the equation of plane in which these lines lie.

The angle between the lines vecr=(2hati-5hatj+hatk)+lamda(3hati+2hatj+6hatk)andvecr=(7hati-6hatk)+mu(hati+2hatj+2hatk) is