In a tic-tac-toe game, each of the nine squares can either be blank, or have an x or an o, so in playing tic-tac-toe there are 39 states. if x wins after 9 turns, there will be 9 ways to place the first x, 8 ways to place the next o and so on, giving 9 · 8 · · · · 1 = 9! different 9 move tic-tac-toe games in which x wins. which of these computations is done correctly with the multiplicative principle? how is independence satisfied or violated?

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this