A point charge `q_(A)=+100 mu c` is placed at point A (1, 0, 2) m and another point charge `q_(B)=+200 mu c` is placed at point B (4, 4, 2) m. Find :
(i) Magnitude of electrostatic interaction force acting between them
(ii) Find `vec(F)_(A)` (force on A due to B) and `vec(F)_(B)` (force on due to A) in vector form

Explanation

To solve the problem, we will follow these steps:

### Given Data:
- Charge \( q_A = +100 \, \mu C = 100 \times 10^{-6} \, C \)
- Charge \( q_B = +200 \, \mu C = 200 \times 10^{-6} \, C \)
- Position of charge A: \( \vec{A} = (1, 0, 2) \, m \)
- Position of charge B: \( \vec{B} = (4, 4, 2) \, m \)

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