A study of Fibonacci & Lucas Vectors

AUTHOR AND
AFFILIATION

AMITAVA SARASWATI
Department of Mathematics St. Paulu2019s School, Indore (India)

KEYWORDS:

Fibonacci and Lucas numbers, position vectors, vector product, Mathematics Subject Classification (2000) : 11B39

Issue Date:

September 2019

Pages:

79-84

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.31 – No.9

PDF

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DOI:

http://dx.doi.org/10.22147/jusps-A/310901

ABSTRACT:

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.

Also, it was observed that, there exists a homeomorphism between the Fibonacci plane and any plane parallel to it.

Copy the following to cite this Article:

A. Saraswati, “A study of Fibonacci & Lucas Vectors”, Journal of Ultra Scientist of Physical Sciences, Volume 31, Issue 9, Page Number 79-84, 2019


Copy the following to cite this URL:

A. Saraswati, “A study of Fibonacci & Lucas Vectors”, Journal of Ultra Scientist of Physical Sciences, Volume 31, Issue 9, Page Number 79-84, 2019

Available from: http://www.ultrascientist.org/paper/1517/


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.

Also, it was observed that, there exists a homeomorphism between the Fibonacci plane and any plane parallel to it.