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Category: Issue 9

A study of Fibonacci & Lucas Vectors

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

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.

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


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...