Shortest distance between the lines:`vecr=(4hati-hatj)+lambda(hati+2hatj-3hatk)` and `vecr=(hati-hatj+2hatk)+u(2hati+4hatj-5hatk)`

Find the angle between the line: vecr=4hati-hatj+lamda(hati+2hatj-2hatk) and vevr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the shortest distance between the lines vecr=3hati+5hatj+7hatk+lamda(hati-2hatj+hatk) and vecr=-hati+hatj-hatk+mu(2hati-6hatj+hatk)

Find the shortest distance between the lines vecr=(hati+2hatj+hatk)+lamda(2hati+hatj+2hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

Find the shortest distance between the following lines : (i) vecr=4hati-hatj+lambda(hati+2hatj-3hatk) and vecr=hati-hatj+2hatk+mu(2hati+4hatj-5hatk) (ii) vecr=-hati+hatj-hatk+lambda(hati+hatj-hatk) and vecr=hati-hatj+2hatk+mu(-hati+2hatj+hatk) (iii) (x-1)/(-1) = (y+2)/(1) = (z-3)/(-2) and (x-1)/(1) = (y+1)/(2) = (z+1)/(-2) (iv) (x-1)/(2) = (y-2)/(3) = (z-3)/(4) and (x-2)/(3) = (y-3)/(4) = (z-5)/(5) (v) vecr = veci+2hatj+3hatk+lambda(hati-hatj+hatk) and vecr = 2hati-hatj-hatk+mu(-hati+hatj-hatk)

Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+lamda(2hati+hatj=2hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

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

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

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 ____________.

The acute angle between the lines vecr=(4hati-hatj)+lamda(2hati+hatj-3hatk) and vecr=(hati-hatj+2hatk)+t(hati-3hatj+2hatk) is (A) (3pi)/2 (B) pi/3 (C) (2pi)/3 (D) pi/6

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