If `bara,barb,barc` are unit coplanar vectors, then find `[ 2bara-barb 2barb-barc 2barc -bara]`.

i) Let bara, barb and barc be non - coplanar vectors and baralpha=bara+2barb+3barc,barbeta=2bara+barb-2barc and bargamma=3bara-7barc , then find [baralphabarbetabargamma] (ii) If bara,barbbarc are non coplanar vectors, then find ((bara+2barb-barc).[(bara-barb)xx(bara-barb-barc)])/([barabarbbarc])

If bara,barb,barc " are unit vectors, then find least value of " 2(bara.barb)+2(barb.barc)+2(barc.bara) .

If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(barb-barc)^(2) +abs(barc-bara)^(2) does not exceed

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.

If bara, barb, barc are non-coplanar vectors, then |(bara*bara,barb*barb,bara*barc),(barb*bara,barb*barb,barb*barc),(barc*bara,barc*barb,barc*barc)|=

If bara,barb,barc " are three non zero vectors, and " bara.barb = bara.barc rArr

If bara, barb, barc are mutually perpendicular unit vectors then [bara barb barc]^(2)+[barb barc bara]^(2)+[barcbarabarb]^(2)+[barabarcbarb]^(2)+[barc barb bara]^(2) =

If bara,barb,barc " are unit vectors such that " (bara,barb) = pi/6, (barb,barc)= pi/3 and (barc,bara)=pi/4 ," then " abs(bara+barb+barc) =

If bara,barb,barc are non-coplanar vectors and (bara+2barb+barc).(bara-barb)xx(bara-barb-barc)=lamda[barabarbbarc] then lamda =