If `vecaxxvecb=vecc and vecbxxvecc=veca, show that veca,vecb,vecc` are orthogonal in pairs. Also show that |vecc|=|veca| and |vecb|=1`

If vecaxxvecb=vecc,vecb xx vecc=veca, where vecc != vec0, then

If veca,vecb,vecc are three such that vecaxxvecb=vecc, vecbxxvecc=veca and veccxxveca=vecb , show that veca,vecb,vecc foem an orthogonal righat handed triad of unit vectors.

[ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb vecc ] , then

If vecaxx(vecaxxvecb)=vecbxx(vecbxxvecc) and veca.vecb!=0 , then [(veca,vecb,vecc)]=

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

If |veca|=1,|vecb|=2,|vecc|=3and veca+vecb+vecc=0 the show that veca.vecb+vecb.vecc+vecc.veca=- 7

If veca+2vecb+3vecc=0 , then vecaxxvecb+vecbxxvecc+veccxxveca=

If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc and any three vectors such that veca.vecb=0,vecb.vecc=0, then veca and vecc are

If veca , vecb and vecc are three vectors such that vecaxx vecb =vecc, vecb xx vecc= veca, vecc xx veca =vecb then prove that |veca|= |vecb|=|vecc|

if veca xx vecb = vecc ,vecb xx vecc = veca , " where " vecc ne vec0 then (a) |veca|= |vecc| (b) |veca|= |vecb| (c) |vecb|=1 (d) |veca|=|vecb|= |vecc|=1