What is the geometricasl significasntce of the relation `|veca+vecb|=|veca-vecb|`?

What is the angle between veca and the resultant of veca+vecb and veca-vecb ?

If veca and vecb are unit vectors, then the greatest value of |veca +vecb|+ |veca -vecb| is

what is the angle between veca and vecb, if veca. vecb = 3 and | veca xx vecb| = 3 sqrt3.

If veca, vecb and vecc be any three non coplanar vectors. Then the system of vectors veca\',vecb\' and vecc\' which satisfies veca.veca\'=vecb.vecb\'=vecc.vecc\'=1 veca.vecb\'=veca.veca\'=vecb.veca\'=vecb.vecc\'=vecc.veca\'=vecc.vecb\'=0 is called the reciprocal system to the vectors veca,vecb, and vecc . [veca,vecb,vecc]-(veca\'xxvecb\')+(vecb\'xxvec\')+(vecc\'xxveca\')= (A) veca+vecb+vecc (B) veca+vecb-vecc (C) 2(veca+vecb+vecc) (D) 3(veca\'+vecb\'+vecc\')

Three vectors veca,vecb and vecc satisfy the relation veca.vecb=0 and veca.vecc=0 . The vector veca is parallel to

If veca and vecb are non - zero vectors such that |veca + vecb| = |veca - 2vecb| then

Four vectors veca, vecb, vecc and vecx satisfy the relation (veca.vecx)vecb=vecc+vecx where vecb.veca ne 1 . The value of vecx in terms of veca, vecb and vecc is equal to

What is the property of two vectores vec A and vec B if: (A) |vecA + vecB|= |vecA - vecB| (b) vecA + vecB = vecA - vecB

Three vectors vecA, vecB and vecC satisfy the relation vecA. vecB=0 and vecA. vecC=0. The vector vecA is parallel to