Everything You Need to Know About VECTORS
17:42
YouTubeFloatyMonkey
Everything You Need to Know About VECTORS
Patreon: https://patreon.com/floatymonkey Discord: https://floatymonkey.com/discord Instagram: https://instagram.com/laurooyen 00:00 Coordinate Systems 01:23 Vectors 03:00 Notation 03:55 Scalar Operations 05:20 Vector Operations 06:55 Length of a Vector 08:40 Unit Vector 09:39 Dot Product 13:28 Cross Product Mistakes in this video: 16.26 | sin ...
1.8M viewsDec 6, 2019
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You are familiar with the operations of gradient (∇ϕ), divergence (∇·V) and curl (∇×V) in ordinary vector analysis ia three-dimensional Euclidean space, Using covariant derivatives, derive formulae for these operations in spherical polar coordinates (r, 6, ϕ) defined by x=r sinθcosϕ y=r sinθsinϕ z=r cosθ Conpare your results to those in Jackson (1999) or an equivalent text. Are they identical? Should they be? | Numerade
You are familiar with the operations of gradient (∇ϕ), divergence (∇·V) and curl (∇×V) in ordinary vector analysis ia three-dimensional Euclidean space, Using covariant derivatives, derive formulae for these operations in spherical polar coordinates (r, 6, ϕ) defined by x=r sinθcosϕ y=r sinθsinϕ z=r cosθ Conpare your results to those in Jackson (1999) or an equivalent text. Are they identical? Should they be? | Numerade
numerade.com
Aug 21, 2023