Word Count : 471

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Let's solve this step by step. We are asked to find the electrostatic force and electric field on the particle at $A$ due to particles at $B$ and $C$. ### Given: * Charges: $q_A = -5\,\mu C$, $q_B = +1\,\mu C$, $q_C = -5\,\mu C$ * Distances: $AB = 40\,\text{cm} = 0.4\,\text{m}$, $AC = 50\,\text{cm} = 0.5\,\text{m}$ * Coulomb's constant: $k = 9 \times 10^9 \, \text{N·m²/C²}$ --- ### Step 1: Determine position vectors Assume the coordinates from the figure: * $A = (0, 0, 0.4)$ m (since it’s 40 cm above origin in z-direction) * $B = (0, 0, 0)$ m * $C = (0.5, 0, 0)$ m --- ### Step 2: Compute vectors from A _______ ___ _______ _________ ___.
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