Let e1 = (1; 0; 0), e2 = (0; 1; 0), and e3 = (0; 0; 1). show that if (i; j; k) is equal to (1; 2; 3) or (2; 3; 1) or (3; 1; 2) then ei x ej = ek. then show that if (i; j; k) is equal to (3; 2; 1) or (2; 1; 3) or (1; 3; 2) then ei x ej = -ek. (note: this problem is really looking at left and right handed coordinate systems.)