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

IF bara times barb = barc and barb times barc=bara then

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

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

If bara,barb,barc are non -coplanar unit vectors such that bara times (barb times barc)=((barb+barc))/sqrt2, barb and barc are non parallel then prove that angle between bara and barb is 3pi//4

Prove that [bara+barb,barb+barc,barc+bara]=2[bara barb barc]

bara,barb,barc,bard are four distinct vectors satisfying the conditions bar a times barb =barc times bard and bara times barc=barb times bard then show that bara.barb+bard.barc ne bard.barb+bara.barc.

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

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

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 barc)| is equal to