Serway & Jewett — Vectors: Problem 32

Why is the following situation impossible? A shopper pushing a cart through a market follows directions to the canned goods and moves through a displacement \( 8.00\hat{i} \text{ m} \) down one aisle. He then makes a \( 90.0^\circ \) turn and moves \( 3.00 \text{ m} \) along the \( y \) axis. He then makes another \( 90.0^\circ \) turn and moves \( 4.00 \text{ m} \) along the \( x \) axis. Every shopper who follows these directions correctly ends up \( 5.00 \text{ m} \) from the starting point.