The angle between the straight line `r=(2-3t)hati+(1+2t)hatj+(2+6t)hatkand r=1(1+4s)hati+(2-s)hatj+(8s-1)hatk`

The angle between the straight line vec r =(2-3t) hat i+(1+2t)hatj+(2+6t) hatk and vec r= (1+4s) hati+(2-s) hatj+ (8s-1) hatk is a) cos^-1 (sqrt(41)/34) b) cos^-1 (21/34) c) cos^-1 (43/63) d) cos^-1 (34/63)

Find the angle between the pair of line: vecr==(1-t)hati+(t-2)hatj+(3-2t)hatk and vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk

Find the angle between the pair of line: vecr==(1-t)hati+(t-2)hatj+(3-2t)hatk and vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk

Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hatj+(3-2t)hatk and vecr = (s+1)hati+(2s-1)hatj-(2s+1)hatk

Find the shortest distance between the following pair of line: vecr=(1-t)hati+(t-2)hatj+(3-2t)hatk and vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk.

Find the shortest distance between the following pair of line: vecr=(1-t)hati+(t-2)hatj+(3-2t)hatk and vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk.

The angle between the straight line r=(hati+2hatj+hatk)+lambda(hati-hatj+hatk) and the plane r.(2hati-hatj+hatk)=4 is

Find the shortest distance between the lines whose vector equations are vecr=(1-t)hati+(t-2)hatj+(3-2t)hatk and vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk .

Find the shortest distance between the following the following lines whose vector equations are vec r=(1-t)hati+(t-2)hatj+(3-2t)hatk and vec r=(s-1)hati+(2s-1)hatj+(2s+1)hatk .