दो रेखाओं के सदिश समीकरण `vecr=(1-t)hati+(t-2)hatj+(3-2t)hatk` तथा `vecr=(s+1)hati+(2s-1)hatj-(2s+1)hatk` है। इन रेखाओं के बीच की न्यूनतम दूरी ज्ञात कीजिए।

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 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 where t and s are scalars.

Find the shortest distance between the following (6 -7) lines whose vector equations are : (i) vec(r) = (1 -t) hati + (t - 2) hatj + (3 - 2t) hatk and vec(r) = (s + 1) hat(i) + (2s - 1) hatj - (2s + 1) hatk (ii) vec(r) = (3 -t) hati + (4 + 2t) hatj + (t - 2) hatk and vec(r) = (1 + s) hati + (3s - 7 ) hatj + (2s -2) hatk. where t and s are scalars.

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.

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 Cartesian from the equation of the plane vecr=(s-2t)hati+(3-t)hatj+(2s+t)hatk .

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 .