If `bara,barb,barc` are non-coplanar vectors, prove that points with position vectors `2bara+3barb-barc,bara-2barb+3barc,3bara+4barb-2barc` and `bara - 6barb + 6barc` are coplanar.

bara,barb,barc are non co planar vectors, then prove that four points 6bara+2barb-barc,2bara-barb+3barc,-bara+2barb-4barc, -12bara-barb-3barc , are coplanar.

bara,barb,barc are non coplanar vectors. Prove that the four points -bara+4barb-3barc , 3bara+2barb-5barc , -3bara+8barb-5barc , -3bara+2barb+barc are co-planar.

Show that [2bara +barb +barc bara +2barb +barc bara +barb +2barc] = 4[bara barb barc]

[bara barb barc]+[bara barc barb] =

bara , barb, barc are coplanar vectors . Prove that of the following four points are coplanar. 6bara + 2barb - barc , 2bara - barb +3barc , - bara + 2barb - 4barc , - 12bara - barb - 3barc .

(bara+2barb-barc).(bara-barb)xx(bara-barb-barc)=

barc.(barb+barc)xx(bara+barb+barc)=

If bara,barb,barc are non-coplaner, then show that the vectors bara -bar b , barb + barc ,bar c + bara are coplanar