## Conceptual Physics (12th Edition)

If the two vectors point in the same direction, they can have a maximum of 7 N. If they point in opposite directions, they can have a minimum of 1 N. Pointing them at right angles gives a resultant of 5 N, by the Pythagorean theorem. $$(3 N)^{2}+(4 N)^{2} =F^{2}$$ $$F=5 N$$