Solution:
1. Movement 1: 30 m North \( \text{Displacement}_1 = 30 \hat{j} \)
2. Movement 2: 20 m East \( \text{Displacement}_2 = 20 \hat{i} \)
3. Movement 3: \( 30\sqrt{2}\) m Southwest \( \text{Displacement}_3 = -30 \hat{i} - 30 \hat{j} \)
Total Displacement: \(
\text{Total Displacement} = (20 \hat{i} + 30 \hat{j}) + (-30 \hat{i} - 30 \hat{j}) = -10 \hat{i} + 0 \hat{j} \)
Displacement = 10 m West
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