quantities relateed to the vector field
Not what you're looking for?
1 Calculate the divergence and curl of the vector field F(x,y,z) = 2xi+3yj+4zk.
2 Find the potential of the function for the conservative vector field:
F(x,y,z) = (y+z)i + (x+z)j + (x+y)k.
3 Use Green's theorem to calculate the work done when a particle is moved along the helix x = cos t, y = sin t, z = 2t from (1,0,0) to (1,0,4pi) against the force
F(x,y,z) = -yi +xj +zk.
4 Calculate the outward flux of the vector field F = xi + yj +zk across the closed surface S, the boundry of the solid paraboloid bounded by the xy - plane and z = 9 - x^2 - y^2.
Purchase this Solution
Solution Summary
The solution covers several basic properties of vector fields: divergence, curl, flux, potential function. It also explains what a conservative vector field. The detailed and step-by-step explanations provide the students a clear prospective of properties of the vector field.
Purchase this Solution
Free BrainMass Quizzes
The Moon
Test your knowledge of moon phases and movement.
Basic Physics
This quiz will test your knowledge about basic Physics.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.