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Practice variation 3 of 3

Vectors — Signed projection length

Your question

If lies in the first quadrant and , the projection of onto

points into the third quadrant (negative multiple of sense along )
must be
must be the zero vector
must equal

This practice question was inspired by Question 6 in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

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