`1+2+3` __________`(-1)+(-2)-(-3)`

Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) are the vertices of a parallelogram.

1 (2)/(3) + 2 (1)/(3) + 2 (2)/(3) - 4 (1)/(2) =

evaluate lim_ (n rarr oo) [(1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (2)) + ......... + (1) / (3 ^ (n))]

(1) / (1.2) + (1.3) / (1.2.3.4) + (1.3.5) / (1.2.3.4.5.6) + .... oo

Which of the following are reflexive relations on set A={1,2,3} . R_(1)={(1,1),(2,3),(3,3),(1,3),(2,1)},R_(2)={(1,1),(3,3),(2,1),(3,2)}

(2)/(3) -((1)/(2) -(1)/(3))/((1)/(2)+(1)/(3))xx3(1)/(3)+(5)/(6) =?

1+ (1 + 2) / (2!) + (1 + 2 + 3) / (3!) + (1 + 2 + 3 + 4) / (4!) + ...... oo

If A = [(1,1,1),(1,2,-3),(2,-1,3)] then | adj A| =