सिद्ध कीजिए कि वे बिंदु जिनके स्थिति सदिश क्रमश : `-2hati - hatj - 4hatk , - 4 hati - 4 hatj + hatk , - 6hati - 7 hatj + 6 hatk` है , समरेख है ।

The vectors hati + 2 hatj + 3 hatk, lamda hati+ 4 hatj + 7 hatk,-3 hati - 2 hatj - 5 hatk are collinear if lamda is :

Show that the vectors 2 hati-3 hatj+4 hatk and -4 hati + 6 hatj-8 hatk are collinear.

[[hati, hatk, hatj]]+[[hatk, hatj, hati]]+[[hatj, hatk, hati]] is equal to

Find the angle between the following pairs of lines : (i) vec(r) = 2 hati - 5 hatj + hatk + lambda (3 hati + 2 hatj + 6 hatk ) and vec(r) = 7 hati - 6 hatk + mu (hati + 2 hatj + 2 hatk) (ii) vec(r) = 3 hati + hatj - 2 hatk + lambda (hati - hatj - 2 hatk ) and vec(r) = 2 hati - hatj - 56 hatk + mu (3 hati - 5 hatj - 4 hatk) .

Show that vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are parallel

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati-2hatj-4hatk are coplanar.