The vector equations of the two lines `L_1, and L_2`, are given by `L_1:vecr=2hati+9hatj+13hatk+lambda(hati+2hatj+3hatk)`; `L_2: vecr=-3hati+7hatj+phatk+mu(-hati+2hatj-3hatk)` then the lines `L_1 and L_2` are

Find the distance between the lines l_1 and l_2 given by vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk)

Find the distance between the lines l_1 and l_2 given by vecr=hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr=3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk) .

Find the distance between the lines l_1 and l_2 given by : vecr = hati+2hatj-4hatk+lambda(2hati+3hatj+6hatk) and vecr = 3hati+3hatj-5hatk+mu(2hati+3hatj+6hatk)CtildeO

Find the distance between the lines l_1 and l_2 , given by barr=hati+2 hatj-4 hat k+lambda(2 hati+3 hatj+6 hatk) and barr=3 hati+3 hatj-5 hatk+mu(2 hati+dot3 hatj+6 hatk)

Find the shortest distance and the vector equation of the line of shortest distance between the lines given by : vecr= (3hati+8hatj+3hatk)+lambda(3hati-hatj+hatk) and vecr=(-3hati-7hatj+6hatk)+mu(-3hati+2hatj+4hatk) .

Find the angle between the two lines given by vecr_1=2hati+4hatj+hatk+lambda(3hati+hatj+5hatk) and vecr_2=6hati+9hatj+7hatk+mu(hati+2hatj+hatk)

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

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 the angle between the lines vecr=hati-hatj+hatk+lambda(2hati-2hatj+hatk) and vecr=2hati-hatj+2hatk+mu(hati+hatj+2hatk) .