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the claim

Multiplying a vector by a negative scalar reverses the direction of the original vector.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
4 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

AS REPORTEDno primary record reached; this is what the reporting says

Is it true that multiplying a vector by a negative scalar reverses the direction of the original vector?

Yes. Multiplying a vector by a negative scalar reverses its direction while scaling its magnitude.

Verdict: SUPPORTED · 4 sources for, 0 against · Last checked

How claims like this are judged

Judged against reference works: claims of this kind are settled by reference works, not journal abstracts.

Evidence for · 4
Wikipedia: Classical Hamiltonian quaternions
Reference article covering this claim directly
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Wikipedia: Classical Hamiltonian quaternions. (n.d.). Wikipedia. https://en.wikipedia.org/wiki/Classical_Hamiltonian_quaternions

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More for · 3
LibreTexts: LibreTexts: 5.04: Vectors
Explicitly states that if the scalar is negative, the resulting vector reverses direction.
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LibreTexts: LibreTexts: 5.04%3A Vectors. (n.d.). LibreTexts. https://math.libretexts.org/Courses/Rio_Hondo/Math_175%3A_Plane_Trigonometry/05%3A_Triangles_and_Vectors/5.04%3A_Vectors

OpenStax: OpenStax Algebra and Trigonometry: 10.8 Vectors
Confirms that scalar multiplication reverses the vector's direction if the scalar is negative.
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OpenStax: OpenStax Algebra and Trigonometry: 10.8 Vectors. (n.d.). OpenStax. https://openstax.org/books/algebra-and-trigonometry/pages/907cf72a-9d36-4043-98b4-3d251188ac6f@

Wikibooks: Wikibooks: A-level Physics/Forces and Motion/Scalars and vectors
States a vector's direction is reversed when multiplied by a negative scalar.
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Wikibooks: Wikibooks: A-level Physics/Forces and Motion/Scalars and vectors. (n.d.). Wikibooks. https://en.wikibooks.org/wiki/A-level_Physics/Forces_and_Motion/Scalars_and_vectors

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