Balance the chemical equation using vector equation

Question

Problem:

Alka - Seltzer contains sodium bicarbonate (NaHCO₃) and citric acid (H₃C₆H₅O₇). When a tablet is dissolved in water, the following reaction produces sodium citrate, water and carbon dioxide gas:

NaHCO₃ + H₃C₆H5O₇ → Na₃C₆H₅O₇ +H₂O + CO₂

Balance the chemical equation using vector equation approach.

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