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in algbraic notation squares are named by combining the letter or their file with the number of their rank
'Orthogonal' just means 'perpendicular'. You can establish that if neither vector has a component in the direction of the other one, or the sum of the squares of their magnitudes is equal to the square of the magnitude of their sum. If you have the algebraic equations for the vectors in space or on a graph, then they're perpendicular if their slopes are negative reciprocals.
There are 9 squares I can see 12 squares in an array of 2 * 4 squares
There are many different sized squares on a chessboard. The smallest squares are in an 8x8 grid, so we have 64 small squares. There are 7x7 2x2 squares, so we have 49 2x2 squares There are 6x6 3x3 squares, so we have 36 3x3 squares There are 5x5 4x4 squares, so we have 25 4x4 squares There are 4x4 5x5 squares, so we have 16 5x5 squares There are 3x3 6x6 squares, so we have 9 6x6 squares There are 2x2 7x7 squares, so we have 4 7x7 squares And there's the one big square that's the chessboard. All this adds up to 204 squares.