Co-ordinate Systems Flashcards
Using the “Gangsta” sign gesture for the cross product (AXB), what does the pointer and middle finger & thumb represent?
Thumb: A
Pointer Finger: B
Middle Finger: AXB
What does |AXB| equal?
Magnitude of AXB = ABsinα
If C=AXB, what is C•A and C•B?
0 as they are orthogonal
What is dSx for a Cartesian System?
[xhat]dydz
What is dSy for a Cartesian System?
[yhat]dxdz
What is dSz for a Cartesian System?
[zhat]dxdy
What is dV for a Cartesian System?
dxdydz
What is the gradient of F equal to?
SEE: [img]http://mathworld.wolfram.com/images/equations/Divergence/NumberedEquation4.gif[/img]
What is Divergence?
Divergence is Flux/Volume i.e. Flux per unit Volume
When is flux positive?
When leaving a surface
When is flux negative?
When entering a surface
What is flux?
Flux is the net amount of something passing through a surface
What is it called when the divergence of A is greater than 0?
A source
What is it called when the divergence of A is less than 0?
A sink
What do we call ϕ?
Azimuth