Comments on: A Visual, Intuitive Guide to Imaginary Numbers http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/ Learning shouldn't hurt. Let's share the insights that made difficult ideas click. Sun, 14 Mar 2010 04:08:56 +0000 http://wordpress.org/?v=2.8.4 hourly 1 By: Sesh http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-275164 Sesh Sat, 13 Mar 2010 18:49:14 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-275164 Khalid, Thanks a lot for all your insightful, intuitive topics on Math. I have one question here- If you consider i as a 90 degree rotation, and 1+i as a 45 degree rotation, (1+i)^4 is a 180 degree rotation? but it also scales 1 by 400% where as a 2*90 degree rotation doesn't. Also in the heading analogy, the magnitude of the vector isn't the same when rotated by 45 degrees. Shouldn't the magnitude remain the same before and after rotation? Khalid, Thanks a lot for all your insightful, intuitive topics on Math. I have one question here-

If you consider i as a 90 degree rotation, and 1+i as a 45 degree rotation, (1+i)^4 is a 180 degree rotation? but it also scales 1 by 400% where as a 2*90 degree rotation doesn’t.

Also in the heading analogy, the magnitude of the vector isn’t the same when rotated by 45 degrees. Shouldn’t the magnitude remain the same before and after rotation?

]]> By: Math Teachers at Play #20 « Let's Play Math! http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-274917 Math Teachers at Play #20 « Let's Play Math! Mon, 08 Mar 2010 21:21:05 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-274917 [...] Khalid Azad clears up students’ confusion with A Visual, Intuitive Guide to Imaginary Numbers. [...] [...] Khalid Azad clears up students’ confusion with A Visual, Intuitive Guide to Imaginary Numbers. [...]

]]> By: Anonymous http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-274571 Anonymous Tue, 02 Mar 2010 19:17:43 +0000 http://betterexplained.com/articles/a-visual-intuitive-guide-to-imaginary-numbers/#comment-274571 ms g is the best!!!! :) ms g is the best!!!! :)

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