Final answer:
To find the electric field intensity at point (0, 3, 1) due to the two given charges, one must calculate the distance from each charge to this point, find the field due to each, and then add up the fields vectorially using Coulomb's law.
Step-by-step explanation:
The electric field intensity at a point due to a point charge is given by Coulomb's law: E = k * |q| / r2, where k is Coulomb's constant (8.9875 × 109 Nm2/C2), q is the charge, and r is the distance from the charge to the point. To calculate the electric field intensity at a given point due to multiple charges, we must calculate the field due to each charge and then vectorially add these fields.
To calculate the electric field intensity at point (0, 3, 1) due to charges of 1 μC and -2 μC located at (3, 2, -1) and (-1, -1, 4) respectively, we first find the distances from each charge to the point, then calculate the electric field due to each charge, and finally, add the fields vectorially.