If the shortest distance between the lines is equal to 9
`vecr_1=alphahati+2hatj+2hatk +lamda(hati-2hatj+2hatk),lamdainR, alpha gt 0`
and `vecr_2=-4hati-hatj+mu(3hati-2hatj-2hatk),muinR, ` is a then `alpha` is

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)

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

Find the shortest distance between the lines vecr =lambda (2hati+ 3hatj+4hatk) and vecr=(hati-hatj)+t(2hati-3hatj+4hatk)

The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0 and vecr.(hati+2hatj-2hatk)-8=0 is

The shortest distance between the lines vecr=(hati-hatj)+lamda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk) is

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 shortest distance between the following pair of line: vecr=hati+2hatj+3hatk+lamda(hati-3hatj+2hatk) and vecr=4hati+5hatj+6hatk+mu(2hati+3hatj+hatk)

Find the shortest distance between the lines vecr = 3 hati + 2hatj - 4 hatk + lamda ( hati +2 hatj +2 hatk ) and vecr = 5 hati - 2hatj + mu ( 3hati + 2hatj + 6 hatk) If the lines intersect find their point of intersection

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