May 18, 2025 · Since the cross-product formula follows the right-hand rule for the basis vectors, all other vectors that are a linear combination of these will also follow the right-hand rule. This …

Oct 21, 2020 · How does this result in a vector with the geometric properties of the cross-product? To begin, I claim that the "natural" form of the cross-product is not that of a vector, but instead …

The equation with $\sin\theta$ can help you to find $\theta$ once you know the cross product, its magnitude, and the magnitudes (or norms) of $\vec a$ and $\vec b$, but it won't help you find …

Mar 22, 2019 · Point for you to ponder on - the cross product of two vectors gives a third vector, perpendicular to the original two vectors. Could you define a (meaningful) cross product in R^2 …

Dec 28, 2023 · When I calculate a cross product of two vectors in Cartesian coordinates, I calculate something that seems like the determinant of a 2x2 matrix. Is there any connection …

Oct 12, 2015 · This is a completely false and misleading answer. You can't expect to do linear algebra with a curvilinear coordinate system. E.g. using this determinant, a simple cross …

Dec 18, 2020 · Sin in Cross Product Formula Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago

May 19, 2014 · My problem is: I want to calculate the cross product in cylindrical coordinates, so I need to write $\vec r$ in this coordinate system. The cross product in cartesian coordinates is …

Mar 3, 2017 · The formula for the cross product is : $$ a \times b = \vert a \vert \vert b \vert \sin (\theta) n $$ One of the purposes of the cross product is to get a vector value that is at right …

Feb 8, 2016 · Because the ordinary triple cross product has two terms, when the chain rule is applied to two quantities $\vec {A}$ and $\vec {B}$ to each of the two quantities from the …