A vector equation of the line of intersection of the planes`vec r = vec b +lambda_1(vecb -vec a) +mu_1(vec a + vec c)` `vec r = vec c +lambda_2 (vecb - vecc) +mu_2(vec a +vecb)` and `veca, vecb, vecc` being non coplanar vectors is

A vector equation of the line of intersection of the planes vec r = vec b + lambda_ (1) (vec b-vec a) + mu_ (1) (vec a + vec c) vec r = vec c + lambda_ (2) (vec b-vec c) + mu_ (2) (vec a + vec b) and vec a, vec b, vec c being non coplanar vectors is

The equation of the plane containing the lines vec r = vec (a_1) + lambda vec b and vec r = vec (a_2) + mu vec b is.............

The vector equation of the plane passing through the origin and the line of intersection of the planes vec r. vec a = lambda and vec r. vec b =mu is __

If the lines vec r = vec a + lambda (vec b xx vec c) and vec r = vec b + mu (vec c xx vec a) are intersect then ...............

The lines vecr = vec a + lamda ( vecb xx vecc ) and vecr = vecb + mu ( vecc xx veca ) will intersect if

Show that for any three vectors veca , vec b and vec c [ vec a + vec b, vecb + vec c , vec c + vec a ] =2[vec a , vec b , vecc] .

If [veca+vecb, vecb+vec c, vec c+veca]=8 then [veca, vecb, vec c] is

i. If vec a , vec b and vec c are non-coplanar vectors, prove that vectors 3veca -7vecb -4 vecc ,3 veca -2vecb + vecc and veca + vecb +2 vecc are coplanar.

If vec a , vec ba n d vec c are three non coplanar vectors, then ( veca + vecb + vecc )[( veca + vecb )×( veca + vecc )] is :

If vec a , vec ba n d vec c are three non coplanar vectors, then ( veca + vecb + vecc )[( veca + vecb )×( veca + vecc )] is :