Rotate the vector OP = (6 6,8) counterclockwise by 3π/2, that is, rotate it clockwise by π/2, that is, the vector OP is perpendicular to the vector OM, so the vector om = (8, -6) is obtained. If you draw the graph of vectors OP and OM again, you can get a square with OP and OM as its adjacent sides. The vector of the hypotenuse of this square is the vector OP+OM, which I call ON. The vector opposite to the ON vector is in the same direction as OQ. Because the diagonal is half of the root sign of the side length, there is this answer.

This is the idea of combining numbers with shapes.