If `vecaxx(vecbxxvecc)+(veca*vecb)vecb=(4-2beta-sinalpha)vecb+(beta^2-1)vecc and (vecc*vecc)veca=vecc,vecb,vecc` being non-collinear then

Find the scaslars alpha and beta if vecaxx(vecbxxvecc)+(veca.vecb)vecb=(vec4-2beta-sinalpha)vecb+(beta^2-1)vecc and (vecc.vecc)veca=vecc where vecb and vecc are non collinear and alpha, beta are scalars

vecb and vecc are non- collinear if veca xx (vecb xx vecc) + (veca .vecb) vecb = ( 4-2x- sin y) vecb + ( x^(2) -1) vecc andd (vec. vecc) veca =veca then

If |{:(veca,vecb,vecc),(veca.veca,veca.vecb,veca.vecc),(veca.vecc,vecb.vecc,veca.vecc)| where veca, vecb,vecc are coplanar then:

If is given that vecx= (vecbxxvecc)/([veca,vecb,vecc]), vecy=(veccxxveca)/[(veca,vecb,vecc)], vecz=(vecaxxvecb)/[(veca,vecb,vecc)] where veca,vecb,vecc are non coplanar vectors. Find the value of vecx.(veca+vecb)+vecy.(vecc+vecb)+vecz(vecc+veca)

Show that the vectors 2veca-vecb+3vecc, veca+vecb-2vecc and veca+vecb-3vecc are non-coplanar vectors (where veca, vecb, vecc are non-coplanar vectors).

Prove that [veca+vecb, vecb+vecc ,vecc+veca]=2[veca vecb vecc]

If vecA=(vecbxxvecc)/([vecb vecc vecc]), vecB=(veccxxveca)/([vecc veca vecb)], vecC=(vecaxxvecb)/([veca vecb vecc)] find [vecA vecB vecC]

If veca, vecb, vecc are vectors such that |vecb|=|vecc| then {(veca+vecb)xx(veca+vecc)}xx(vecbxxvecc).(vecb+vecc)=

If vecaxxvecb=vecc and vecbxxvecc=veca then a. veca,vecb,vecc are orthogonal in pairs and |veca|=|vecc|,|vecb|=1 b. veca,vecb,vecc are not orthogonal to each other c. veca,vecb,vecc are orthogonal in pairs but |veca|!=|vecc| d. veca,vecb,vecc are orthogonal but |vecb|=1 OR If vecaxxvecb=vecc,vecbxxvecc=veca , then