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Vector Walk

Stage: 4 and 5 Challenge Level: Challenge Level:1
Try creating some walks from combinations of $b_1$ and $b_2$. Do you notice anything about the destinations you reach? Can you explain what you find?

What is the simplest horizontal step you can make by combining $b_1$ and $b_2$ steps? What about vertically?

This problem builds on GCSE level vector work, and provides a foundation for concepts met in the later Core A Level modules.