Linear Algebra: Vector space axioms
I was given a particular space: The set of all polynomials of degree greater than or equal to three, and zero, and asked to evaluate whether or not it was a vector space or not. The one that doesn't hold true is 1*x=x (according to the
Stroke's Theorem
Use Stoke's Theorem to evaluate the double derivate of curl(f) [dot] ndS for the vector field F and the oriented surface. 2. Relevant equations 3. The attempt at a solution I really don't know how to use stoke's theorem when considering
Rotation Angles for 3D Vector
My issue is that I don't have a rotation matrix, i just have the velocity vector of the object. Can anyone help me understand how to calculate rotation angles from a 3D vector? Do I need to first calculate a rotation matrix and then
Forming an orthogonal matrix whose 1st column is a given unit vector
Show that if the vector LaTeX graphic is being generated. Reload this page in a moment. is a unit Reload this page in a moment. that has as its first column the vector LaTeX graphic is being generated. Reload this page in a moment
Finding torque vector cross product
A particle position is described by position vector r = 3i + 2j and the force vector i - 2j acts on the object. 1) Find the torque about an axis through the origin and perpendicular to the xy plane
Suggestions for online courses on math for physics Vector Algebra
sci.physics: Suggestions for online courses on math for physics (Vector Algebra/Calculus
Vector Quotient Spaces
I'm having a bit of trouble seeing Vector Quotient Spaces. Lets say I have a vector space $V$ and I want to quotient out by a linear subspace $N$. Then $V/N$ is the set of all equivalence classes $$
zero vector perpendicular
This is an interesting question that my friend had Is the zero vector perpendicular to all other vectors? We know that the zero vector is orthogonal to all other vectors; I verified this in both
Applications of vector dot product in physics
I have to present shortly five applications of vector dot product in physics, for example: W=F*s. I am not quite clear about vectors, so could someone advise me
Lorentz violation and deformed special relativity
Einstein strengthened some of the holy principles of the physics before him - in just like the cross product giving you a vector out of two vectors can't. The search for the new exciting ideas in physics is also the search for
physics+vector: physics+vector