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Students' difficulties with unit vectors and scalar multiplication of a vector
written by
Pablo Barniol
In this article we report an investigation on students' understanding of: 1) unit vectors and, 2) scalar multiplication of a vector. We administered two different tests to a total of 850 students after taking their first introductory physics course on mechanics at a large private Mexican university. The first test about unit vectors was taken by 270 students and the second test about scalar multiplication of a vector by 580 students. In the first part of this article, we analyze students' difficulties sketching the unit vector in the direction of a vector in the Cartesian coordinate plane. In the second part, we analyze students' responses in two types of problems: positive and negative scalar multiplication of a vector. In both parts of this article we describe frequent errors that have not been reported in the literature.
Physics Education Research Conference 2011
Part of the PER Conference series Omaha, Nebraska: August 3-4, 2011 Volume 1413, Pages 115-118
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Record Link
<a href="https://www.per-central.org/items/detail.cfm?ID=11827">Barniol, Pablo. "Students' difficulties with unit vectors and scalar multiplication of a vector." Paper presented at the Physics Education Research Conference 2011, Omaha, Nebraska, August 3-4, 2011.</a>
AIP Format
P. Barniol, , presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677).
AJP/PRST-PER
P. Barniol, Students' difficulties with unit vectors and scalar multiplication of a vector, presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677>.
APA Format
Barniol, P. (2011, August 3-4). Students' difficulties with unit vectors and scalar multiplication of a vector. Paper presented at Physics Education Research Conference 2011, Omaha, Nebraska. Retrieved September 28, 2023, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677
Chicago Format
Barniol, Pablo. "Students' difficulties with unit vectors and scalar multiplication of a vector." Paper presented at the Physics Education Research Conference 2011, Omaha, Nebraska, August 3-4, 2011. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677 (accessed 28 September 2023).
MLA Format
Barniol, Pablo. "Students' difficulties with unit vectors and scalar multiplication of a vector." Physics Education Research Conference 2011. Omaha, Nebraska: 2011. 115-118 Vol. 1413 of PER Conference. 28 Sep. 2023 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677>.
BibTeX Export Format
@inproceedings{
Author = "Pablo Barniol",
Title = {Students' difficulties with unit vectors and scalar multiplication of a vector},
BookTitle = {Physics Education Research Conference 2011},
Pages = {115-118},
Address = {Omaha, Nebraska},
Series = {PER Conference},
Volume = {1413},
Month = {August 3-4},
Year = {2011}
}
Refer Export Format
%A Pablo Barniol %T Students' difficulties with unit vectors and scalar multiplication of a vector %S PER Conference %V 1413 %D August 3-4 2011 %P 115-118 %C Omaha, Nebraska %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677 %O Physics Education Research Conference 2011 %O August 3-4 %O application/pdf
EndNote Export Format
%0 Conference Proceedings %A Barniol, Pablo %D August 3-4 2011 %T Students' difficulties with unit vectors and scalar multiplication of a vector %B Physics Education Research Conference 2011 %C Omaha, Nebraska %V 1413 %P 115-118 %S PER Conference %8 August 3-4 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11827&DocID=2677 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. This resource is stored in a shared folder. You must login to access shared folders. Students' difficulties with unit vectors and scalar multiplication of a vector:Know of another related resource? Login to relate this resource to it. |
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