If a, b and c are mutually perpendicular vectors, thenprove that `[bara barb barc]^2 = a^2b^2c^2`.

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 mutually prependicular vectors having megnitudes 1,2,3 respectively, then [bara+barb+bar(c) bar(b)-bara" "barc]=

If bara,barb,barc are mutually prependicular vectors having megnitudes 1,2,3 respectively, then [bara+barb+bar(c)" "bar(b)-bara" "barc]=

Suppose bara , barb are mutually perpendicular unit vectors and the unit vector barc is inclined at an angle theta to each of bara and barb If : barc = xbara + ybarb + z ( bara xx barb ) , then

Let bara,barb and barc are three mutually perpendicular unit vectors and a unit vector barr satisfying the equation (barb - barc) times (barr times bara)+(barc - bara) times (barr times barb)+(bara-barb) times (barr -barc)=0 then barr is

If bara,barb and barc are three non-coplanar vectors, then : (bara + barb + barc) · [(bara + barb) xx (bara + barc)] =

If bara,barb and barc are three non-coplanar vectors, then : (bara + barb + barc) · [(bara + barb) xx (bara + barc)] =

Given that bara and barb are not mutually perpendicular. If barc and bard are two vectors such that barb xx barc = barb xx bard and bara.bard =0, then : bard=