Difference between Scalar Function and Vector Function?
Nov 7, 2008 · Okay I know the definition of a Vector and of a scalar... but I am getting a little confused for some reason. Wolfram.com gives this definition of a scalar function: A function …
How does DEL(dot)V differ from V(dot)DEL? • Physics Forums
Jun 13, 2012 · The discussion clarifies the differences between the operators V⋅∇ and ∇⋅V, emphasizing that V⋅∇ acts as an operator mapping a scalar function to another scalar field, …
Scalar vs Vector: Explaining the Difference • Physics Forums
Jan 22, 2008 · A scalar function maps something to a scalar; a vector function maps something to a vector. So, to distinguish the two you simply ask what does the function return, a scalar or a …
What is the difference between scalar and vector functions?
Mar 13, 2024 · A function gives a scalar field if the output of the function is a scalar, or a single number. A function gives a vector field if the output of the function is a vector.
Using 4-Gradient to Apply Function to 4-Vector - Physics Forums
Feb 6, 2013 · I assumed it was the scalar product, since it seems to me that you need a scalar function to apply a gradient operator, but in an example problem, the 4-gradient was applied to …
Understanding Surface Integrals: Scalar vs. Vector Functions …
Jul 16, 2014 · Hello, We know that surface integrals come to the form of a surface integral of a scalar function over a surface and a vector field over a surface. First...
Vector multiply that is NOT dot or cross? - Physics Forums
Jan 21, 2015 · Are you seeing the gradient of a scalar function? That is represented by a del operator and a capital letter which you might think is a vector.
Understanding Divergence: Can You Find the Divergence of a …
May 13, 2005 · I'm doing an assignment where the lecturer has said scalar function g (x,y,z) = x^3 + y + z^2 and vector field F = (2xz,sin y,e^y) and asked find a) grad g which is fairly easy, but …
Vector valued and scalar valued functions - Physics Forums
Oct 10, 2004 · Hi what is the definition and meaning (geometric) of a vector valued and scalar valued function? I read the definition in the textbook but I didn't quite get it. Thank you.
Function of angle between vector field and scalar function
Mar 28, 2016 · I was curious, if you were given a vector field F(x,y,z) = , and then some scalar function f(x,y,z), how would you define a function θ(x,y,z) of the angle θ between the scalar …