If `bara ,barb and barc` are three unit vectors such that `bara times (barb times barc)=1/2 barb` Find the angles which `bara` makes with `barb and barc`.

Let bara barb barc be three unit vectors such that |bara+barb+barc| =1 and barc makes angles a and b with bara and barb respectively then cosa+cosb is equal to

bara times (barb times barc) +barb times (barc times bara)+ barc times (bara times barb) equals

bara,barb,barc are three unit vectors such that |bara-barb|^2+|bara-barc|^2=8 ,then |bara+2barb|^2+|bara+2barc|^2=

Let bara,barb,barc be unit vectors such that bara+barb+barc=bar0 . Which one of the following is correct?

If bara,barb,barc are non-coplanar vectors, express bara times (barb times barc) as a linear combination of bara,barb,barc

IF bara,barb,barc are unit vectors such that bara+barb+barc=0 then the value of bara.barb+barb.barc+barc.bara is

IF barx times barb=barc times barb and barx . bara =0 then barx=

If barc=bara times barb and barb=barc times bara then

Prove that [bara times barb bara times barc bard]=(bara.bar d)[bara barb barc]

If vectors barb, bar c ,bard are not coplanar then prove that (bara times barb) times (barc times overlind)+(bara times barc) times (bard times barb)+(bara times bard) times (barb times barc) is parallel to bara .