If `veca,vecb,vecc` are three mutually perpendicular unit vectors, then prove that `abs(veca+vecb+vecc)=sqrt3`

If veca, vecb, vecc are three mutually perpendicular unit vectors then |veca+vecb+vecc| is

If veca,vecb,vecc are three mutually perpendicular vectors, then the vector which is equally inclined to these vectors is (A) veca+vecb+vecc (B) veca/|veca|+vecb/|vecb|+vecc/|vecc| (C) veca/|veca|^2+vecb/|vecb|^2+vecc/|vecc|^2 (D) |veca|veca-|vecb|vecb+|vecc|vecc

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector make equal angles which veca, vecb and vecc then find the value of |veca+ vecb + vecc + vecd|^2

If veca,vecb,vecc are mutually perpendicular vectors of equal magnitude show that veca+vecb+vecc is equally inclined to veca, vecb and vecc

If veca ,vecb and vecc are three mutually orthogonal unit vectors , then the triple product [veca+vecb+vecc veca+vecb vecb +vecc] equals

If veca, vecb and vecc are three non-coplanar non-zero vectors, then prove that (veca.veca) vecb xx vecc + (veca.vecb) vecc xx veca + (veca.vecc)veca xx vecb = [vecb vecc veca] veca

If vecb and vecc are any two mutually perpendicular unit vectors and veca is any vector, then (veca.vecb)vecb+(veca.vecc)vecc+(veca.(vecbxxvecc))/(|vecbxxvecc|^2)(vecbxxvecc)= (A) 0 (B) veca (C) veca/2 (D) 2veca

Let veca vecb and vecc be pairwise mutually perpendicular vectors, such that |veca|=1, |vecb|=2, |vecc| = 2 , the find the length of veca +vecb + vecc .

If veca,vecb,vecc are mutually perpendicular vectors of equal magnitudes , show that the vector vecc*vecd=15 is equally inclined to veca,vecbandvecc .

If veca,vecb, vecc and veca',vecb',vecc' are reciprocal system of vectors, then prove that veca'xxvecb'+vecb'xxvecc'+vecc'xxveca'=(veca+vecb+vecc)/([vecavecbvecc])