`veca,vecb,vecc` are three vectors such that `vecaxxvecb=vecc, vecbxxvecc=veca.` Prove that `veca,vecb,vecc` are mutually at righat angles and `|vecb|=1, |vecc|=|veca|`.

If veca, vecb and vecc are three non zero vectors such that veca xx vecb = vecc and vecbxx vecc = veca. Prove that veca, vecb and vecc are mutually at right angles and |vecb|=1 and |vecc| =|veca|

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

If veca, vecb, vecc are any three vectors such that (veca+vecb).vecc=(veca-vecb)=vecc=0 then (vecaxxvecb)xxvecc is

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

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 , 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,vecb,vecc asre three vectors such that vecaxxvecb=vecc, vecbxxvecc=veca then (A) |vecb|=1,|vecc|=|veca| (B) |vecc|=1,|veca|=|vecb| (C) |vecb|=2,|vecc|=2|veca| (D) |veca|=1,|veccb|=|vecc|

If veca, vecb,vecc are three on-coplanar vectors such that veca xx vecb=vecc,vecb xx vecc=veca,vecc xx veca=vecb , then the value of |veca|+|vecb|+|vecc| is

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.

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