Let : `bara = i - j, barb = j - k, barc = k - i` If `bard` is a unit vector such that `bara. bard = 0 = [barb barc bard]`, then : `bard` =

Let bara=bari-barj,barb=barj-bark,barc=bark-bari . lf dis a unit vector such that bara.bard =0=[barb barc bard] then bard is equals to

Let bara, barb, barc be unit vectors such that bara· barb = 0 = bara ·barc If mangle(barb,barc)=(pi)/6, then : bara=

If bara = i + 5k, barb = 2i + 3k, barc = 4i - j + 2k and bard = i-j , then (barc - bara)·(barb xx bard) =

lf bara = 3i - 5j and barb = 6i + 3j are two vectors, and barc is a vector such that barc = bara xx barb , then : abs(bara) : abs(barb) : abs(barc) =

If bara,barb,barc are any three vectors such that (bara+ barb) . barc = (bara - barb) . barc = 0 then (baraxx barb)xxbarc =

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

If bara, barb, barc, bard are vectors such that bard is a unit vector, the projection of bara on bard is 2 and [bara barb barc] = 3 find the value of { ( a xx b) xx (bara xx barc)} .bard

Let bara = i - k, barb =x i+ j + ( 1 - x) k , and barc = yi + xj + ( 1 + x - y ) k . Then bara ,barb and barc are non-coplanar for