the drawing shows three point charges fixed in place. the charge at the coordinate origin has a value of q1= +8.00

To understand the configuration of the three point charges, we need more information about the other two charges. However, I can still explain how to determine the properties of the system using Coulomb's Law.

Coulomb's Law states that the force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them. The formula for Coulomb's Law is:

F = k * (|q1| * |q2|) / r^2

Where:
- F represents the force between the two charges,
- k is the electrostatic constant (usually denoted as 9 * 10^9 Nm^2/C^2),
- q1 and q2 are the magnitudes of the two charges, and
- r is the distance between the charges.

To determine various properties of the system, such as the forces exerted by different charges or the net force acting on a particular charge, we must use Coulomb's Law and vector addition. The steps to follow are as follows:

1. Identify the charges and their respective magnitudes (given in the problem statement).
2. Determine the distances between each pair of charges (if not given, you may need to make estimations based on provided information).
3. Apply Coulomb's Law to calculate the forces exerted between each pair of charges.
4. If you need to find the net force on a charge, calculate the vector sum of the individual forces acting on that charge.

Remember to consider the signs of the charges (+ or -) when performing calculations, as the direction of the resulting forces depends on the charges' polarity.

Can you provide more information about the other two charges and their positions?