Comments on: Vector Calculus: Understanding the Cross Product https://betterexplained.com/articles/cross-product/ Math lessons that click Tue, 11 May 2021 04:22:16 +0000 hourly 1 By: Starten met programmeren van een 3D omgeving in Unreal Engine - Bewerkingen in 3D - ICT-opleidingen CVO Groeipunt https://betterexplained.com/articles/cross-product/#comment-390830 Sat, 12 Dec 2020 20:04:43 +0000 http://betterexplained.com/?p=5140#comment-390830 […] Vector Calculus: Understanding the Cross Product […]

]]> By: Humoyun Ahmedov https://betterexplained.com/articles/cross-product/#comment-356756 Wed, 28 Nov 2018 07:36:00 +0000 http://betterexplained.com/?p=5140#comment-356756 this one is not intuitive, more complicated than other posts on this series

]]> By: Laurence Qi https://betterexplained.com/articles/cross-product/#comment-345787 Wed, 25 Jul 2018 06:52:00 +0000 http://betterexplained.com/?p=5140#comment-345787 Honestly this is such a phenomenal explaination of a topic that I’ve had significant difficulty with in the past

]]> By: kalid https://betterexplained.com/articles/cross-product/#comment-336463 Tue, 13 Feb 2018 23:20:04 +0000 http://betterexplained.com/?p=5140#comment-336463 In reply to cal.

Hi Cal,

The goal of u x v/|u x v|

is to find the unit normal vector (the full cross product, scaled down to a length of 1).

The cross product has length |u||v|sin(theta), which we can find by directly crunching through the cross product formula.

As a shortcut,

Because cos^2 + sin^2 = 1, we have

sin = sqrt(1 – cos^2)

From the dot product,

u . v = |u||v|cos(theta)

or

cos(theta) = u.v / (|u||v|)

Hope that helps!

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