If `veca,vecb,vecc` are the position vectors of A,B,C respectively prove that `vecaxxvecb+vecbxxvecc+veccxxveca` is a vector perpendicular to the plane ABC.

If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then [vecaxxvecb vecbxxvecc veccxxveca] is equal to

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

The vector (veca.vecb)vecc-(veca.vecc)vecb is perpendicular to

Prove that (vecbxxvecc)xx(veccxxveca)=[veca vecb vecc]vecc

Prove that (vecbxxvecc)xx(veccxxveca)=[veca vecb vecc]vecc

If veca, vecb and vecc are the position vectors of the vertices A,B and C. respectively , of triangleABC . Prove that the perpendicualar distance of the vertex A from the base BC of the triangle ABC is (|vecaxxvecb+vecbxxvecc+veccxxveca|)/(|vecc-vecb|)

veca,vecb,vecc are the position vectors of vertices A, B, C respectively of a paralleloram, ABCD, ifnd the position vector of D.

If veca,vecb,vecc and vecd are the position vectors of the vertices of a cycle quadrilateral ABCD, prove that (|vecaxxvecb+vecb xxvecd+vecd xxveca|)/((vecb-veca).(vecd-veca))+(|vecbxxvecc+veccxxvecd+vecd+vecd xx vecb|)/((vecb-vecc).(vecd-vecc))

If veca,vecb,vecc,vecd are any for vectors then (vecaxxvecb)xx(veccxxvecd) is a vector (A) perpendicular to veca,vecb,vecc,vecd (B) along the the line intersection of two planes, one containing veca,vecb and the other containing vecc,vecd . (C) equally inclined both vecaxxvecb and veccxxvecd (D) none of these

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