1. The problem is to verify the vector addition: \((3, 2) = (1, 0) + (2, 2)\). 2. Vector addition means adding corresponding components: $$ (1, 0) + (2, 2) = (1 + 2, 0 + 2) $$ 3. Calculate the sums: $$ (1 + 2, 0 + 2) = (3, 2) $$ 4. The result matches the original vector \((3, 2)\), confirming the vector addition is correct. Final answer: \((3, 2) = (1, 0) + (2, 2)\) is true.