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A spelunker is surveying a cave. She follows a passage 130 m straight west, then 270...

A spelunker is surveying a cave. She follows a passage 130 m straight west, then 270 m in a direction 45∘ east of south, and then 280 m at 30∘ east of north. After a fourth unmeasured displacement, she finds herself back where she started. What is the magnitude and direction of the fourth displacement vector?

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