59. (a) Charge Q1= +80 ×10–9C is on the yaxis at y= 0.003 m, and charge 9280 10 CQ−=+ ×is on the yaxis at y= –0.003 m. The force on particle 3 (which has a charge of q= +18 ×10–9C) is due to the vector sum of the repulsive forces from Q1and Q2. In symbols, 31323,FFF+=GGGwhere 3222||,.qqqqFkrr==Using the Pythagorean theorem, we have r31= r32= 0.005 m. In magnitude-angle notation (particularly convenient if one uses a vector-capable calculator in polar mode), the indicated vector addition becomes
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