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 angle between the lines given by vecr=(2hati+3hatj+4hatk)-lambda (hati-4hatj+5hatk) and vecr = (hati-hatj+hatk)-s(2hati-3hatj+4hatk)

Find the angle between the line vecr = (hati +2hatj -hatk ) +lambda (hati - hatj +hatk) and vecr cdot (2hati - hatj +hatk) = 4.

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

Find the shortest distance between the lines vecr = 2hati - hatj + hatk + lambda(3hati - 2hatj + 5hatk), vecr = 3hati + 2hatj - 4hatk + mu(4hati - hatj + 3hatk)

Find the angle between the following pair of line: vecr=3hati+hatj-2hatk+lamda(hati-hatj-2hatk) and vecr=2hati-hatj-56hatk+mu(3hati-5hatj-3hatk)

Find the angle between the line vecr = (2hati+hatj-hatk)+lambda(2hati+2hatj+hatk) and the plane vecr.(6hati-3hatj+2hatk)+1=0 .

If d is the shortest distance between the lines vecr =(3hati +5hatj + 7hatk)+lambda (hati +2hatj +hatk) and vecr = (-hati -hatj-hatk)+mu(7hati-6hatj+hatk) then 125d^(2) is equal to ____________.

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

Find the angle between the lines vecr=3hati-2hatj+6hatk+lamda(2hati+hatj+2hatk) and vecr=(2hatj-5hatk)+mu(6hati+3hatj+2hatk) .