If N1,N2,N3,...... are the number of molecules with molecular masses M1,M2,M3,...... respectively, the mass average molecular mass is expressed as?
If l1,m1,n1,l2,m2,n2 and l3,m3,n3 are the direction cosines of three mutually perpendicular lines,then prove that the line whose direction cosines are proportional to l1+l2+l3,m1+m2+m3 and n1+n2+n3 makes equal angles with them.