Practice question

Four concurrent forces act at a point O. Two forces (3P acting vertically upwards and 5P acting vertically downwards) are in the vertical direction. The other two forces (P acting horizontally to the left, and an unknown force F acting horizontally to the right) are in the horizontal direction. If the magnitude of the net resultant of these four forces is 2√2 P, find the magnitude and direction of the unknown force F.