eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences September 2019 31 9 79 84 http://dx.doi.org/10.22147/jusps-A/310901 1517 article <authors> <author> <name>AMITAVA SARASWATI</name> <affiliationId>1</affiliationId> </author> </authors> <affiliationsList> <affiliationName affiliationId="1">Department of Mathematics St. Paulu2019s School, Indore (India)</affiliationName> </affiliationsList> <abstract language="eng"><p style="text-align:justify">An attempt has been made to put forth certain properties of Lucas and Fibonacci vectors and establish a relationship between the vectors using a special matrix. Cross products between Fibonacci and Lucas vectors have been investigated.</p> <p style="text-align:justify">Also, it was observed that, there exists a homeomorphism between the Fibonacci plane and any plane parallel to it.</p> </abstract> <fullTextUrl format="html">https://www.ultrascientist.org/paper/1517/</fullTextUrl> <keywords> <keyword language="eng"> Fibonacci and Lucas numbers</keyword> </keywords> <keywords> <keyword language="eng"> position vectors</keyword> </keywords> <keywords> <keyword language="eng">vector product</keyword> </keywords> <keywords> <keyword language="eng">Mathematics Subject Classification (2000) : 11B39</keyword> </keywords> </record> </records>