Is there a simpler way to write the cross product of curl? - Physics …
2005年3月1日 · In summary, there is no specific rule for writing the expression \vec B \times (\vec \nabla \times \vec A), but with some manipulation, it can be written as B_x\nabla …
Deriving the E Cross B Drift Velocity: A Puzzling Explanation
2017年5月4日 · The E Cross B drift velocity is a phenomenon that occurs in charged particle motion when they are subjected to both electric and magnetic fields. The particles experience …
Why is A cross B= ABsin(theta) false? - Physics Forums
2016年9月30日 · Can A cross B ever be equal to ABsin(theta)? No, A cross B and ABsin(theta) are fundamentally different and cannot be equal. The cross product is a vector, while …
Is the Vector Equation AxB=AxC Only True When A=0 or B=C?
2013年12月14日 · The cross product is related to the dot product by the identity a x b = |a||b|sinθ, where a and b are the input vectors and θ is the angle between them. This means that the …
Cross Products in Spherical Coordinates: Is A x B True? - Physics …
2014年9月21日 · The cross product in spherical coordinates is calculated using the following formula: A x B = (ArBr - AθBθ - AφBφ)r + (AφBθ - ArBφ + AθBr)θ + (ArBφ - AφBr + AθBθ)φ. …
Is A Cross B Equal to Zero a Test for Orthogonal Cases? - Physics …
2012年7月1日 · The cross product of two vectors, A and B, can be calculated by taking the magnitude of A, the magnitude of B, and the sine of the angle between them. The resulting …
What is the resolution to the problem with E cross B field and E>B?
2016年2月26日 · What is the "E cross B field"? The E cross B field is a vector field that results from the vector cross product of the electric field (E) and the magnetic field (B). It is used to …
Solving Curl(A x B): Step-By-Step Guide - Physics Forums
2010年5月9日 · A x B is the cross product of two vectors A and B. It is a binary operation that results in a vector that is perpendicular to both A and B. The magnitude of the resulting vector …
Cross Product Identity: Solving for (A X B)^2 - Physics Forums
2011年2月13日 · FAQ: Cross Product Identity: Solving for (A X B)^2 What is the definition of Cross Product Identity? Cross Product Identity is a mathematical concept that states the …
Prove nabla(a dot b): Freshman Seeks Help - Physics Forums
2010年7月2日 · In summary, the conversation is about proving the equation nabla(a dot b)=(b dot nabla)a+(a dot nabla)b+b cross nabla cross a+a cross nabla cross b, where a and b are …