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

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

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

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

For any three vectors bara, barb, barc prove : [bara-barb, barb-barc, barc-bara]=0

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

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

If hatd is a unit vectors such that hatd=lamdabarb times barc+mubarc times bara+vbara times barb then |(hatd.bara)(barb times barc)+(bard.barb) (barc times bara)+(bard.barc) (bara times barb)| is equal to

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

IF bar(a),bar(b),bar(c ) are vectors from the origin to three points A,B,C show that bara times barb +barb times barc+barc times bara is perpendicular to the plane ABC.