Insights Blog
-- Browse All Articles --
Physics Articles
Physics Tutorials
Physics Guides
Physics FAQ
Math Articles
Math Tutorials
Math Guides
Math FAQ
Education Articles
Education Guides
Bio/Chem Articles
Technology Guides
Computer Science Tutorials
Forums
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Trending
Featured Threads
Log in
Register
What's new
Search
Search
Search titles only
By:
Intro Physics Homework Help
Advanced Physics Homework Help
Precalculus Homework Help
Calculus Homework Help
Bio/Chem Homework Help
Engineering Homework Help
Menu
Log in
Register
Navigation
More options
Contact us
Close Menu
JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding.
You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an
alternative browser
.
Forums
Homework Help
Introductory Physics Homework Help
Weird Thing About Coriolis Acceleration and Coriolis Force?
Reply to thread
Message
[QUOTE="vanhees71, post: 6830458, member: 260864"] That's easy to prove. A polar vector ##\vec{p}## transforms as ##\vec{p} \rightarrow -\vec{p}## and an axial vector ##\vec{a}## as ##\vec{a} \rightarrow +\vec{a}## (EDIT: Typo corrected in view of #28) under space reflections, which implies that for two polar vectors $$\vec{p}_1 \times \vec{p}_2 \rightarrow (-\vec{p}_1) \times (-\vec{p}_2) = + \vec{p}_1 \times \vec{p}_2,$$ i.e., ##\vec{p}_1 \times \vec{p}_2## is an axial vector. In the same way you find that the cross product of two axial vectors transforms a again as an axial vector, and the cross product of a polar and an axial vector transform as a polar vector. In this connection one may note that there are also scalars and pseudo-scalars (here I've to use "pseudo", because I've never seen another name for it ;-)): The scalar product of two polar or two axial vectors obviously are invariant under space reflections ("scalars") while the scalar product of a polar and an axial vector flips its sign under space reflections ("pseudo-scalars"). [/QUOTE]
Insert quotes…
Post reply
Forums
Homework Help
Introductory Physics Homework Help
Weird Thing About Coriolis Acceleration and Coriolis Force?
Back
Top