(Solved): In the diagram below, a charge is to be placed at the empty corner to make the net force on the ch ...

In the diagram below, a charge is to be placed at the empty corner to make the net force on the charge at corner 1, point along the vertical direction. What charge (magnitude and algebraic sign) in $$?\mathrm{C}$$ must be placed at the empty corner? $$+q=+2.47?\mathrm{C}$$ (Hint 1: Start by finding the direction and magnitude of the forces on charge 1 by the other 2 charges) (Hint 2: Find the charge value that will cancel out the forces in the horizontal dimension) (Hint 3: Don't find the angle, find $$\cos ?$$. Use the dimensions of the rectangle to do that.) (Hint 4: You'll need the pythagorean theorem for this problem.) Round answer to 3 sig figs