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

Find the volume of the parallelopiped having coterminus edges as 2bara - barb + barc , -bara+ 2barb + 2barc and bara-3barb +barc if [bara barb barc]=-2 .

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

If bara. barb = barb. barc = barc . bara = 0 then [bara barb barc] =

Show that bara.[(barb+barc)xx(bara+barb+barc)]=0

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 .

A : If bara, barb, barc form a left handed orthogonal system such that bara.bara= 4, barb.barb =9, barc.barc =16 rArr [barabarbbarc]=-24 R : For left handed system [bara barb barc] bara, barb, barc, [barabarbbarc] =pm(absbara.absbarb.absbarc) The correct answer is

Show that the four points with position vectors bara,barb,barc,bard are coplaner if [barb barc bard]+[barc bara bard]+[bara barb bard]=[bara barb barc]

If bara xx barb=barc and barbxx barc=bara , then

Let bara,barb and barc be non coplanar vectors if [2bara-barb+3barc,bara+barb-2barc,bara+barb-3barc]=lamda[bara barb barc] then find lamda .