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Resolutions of the Jerk and Snap Vectors for a Quasi Curve in Euclidean 3-Space
oleh: Ebrahem Hamouda, Clemente Cesarano, Sameh Askar, Ayman Elsharkawy
Format: | Article |
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Diterbitkan: | MDPI AG 2021-12-01 |
Deskripsi
This work aims at studying resolutions of the jerk and snap vectors of a point particle moving along a quasi curve in Euclidean 3-space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">E</mi><mn>3</mn></msup></semantics></math></inline-formula>. In particular, we obtain the resolution of the jerk and snap vectors along the quasi vectors and offer an alternative resolution of the jerk and snap vectors along the tangential direction and two special radial directions that lie in the osculating and rectifying planes. This alternative resolution for a quasi plane curve in Euclidean 3-space <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">E</mi><mn>3</mn></msup></semantics></math></inline-formula> is given as corollary. Moreover, our results are illustrated via some examples.