Forces at an Angle and Vectors

In the game of chess, the rook can only move horizontally or vertically each turn.  Yet in a sequence of moves, it can move from one corner of the board to the opposite corner.  Starting at the lower left corner, document a series of moves that gets you to the upper right corner.  Each move should have a magnitude in number of squares and a direction, “up”, “down”, “left”, “right”.  So, the simplest 2-step move to get you from the bottom left to upper right would be “up 7”, “right 7”. Come up with sequences of 2 moves, 3 moves, 4 moves and 5 moves that get you from the lower left to the upper right.