If three mutually perpendicular lines have direction cosines (l1,m1,n1),(l2,m2,n2) and (l3,m3,n3)line having direction cosines l1+l2+l3,m1+m2+m3 and n1+n2+n3 make an angle of..... with each other
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.