- #1
galipop
- 51
- 0
Hi Folks,
I'm just working through a few exercises relating to vector functions and vector fields.
Can you look over my working and let me know if I'm on the right track?
vector function: g(x,y,z) = x^3 + y + z^2
vector field F = (2xz , sin y , e^y)
i need to evalute the following:
1. grad g = (3x^2 , 1 , 2z)
2. div g = does not exist. From what I've seen you can't find the div of a vector function. Is this correct?
3. div F = 2z + cos y + 0
4. curl F = e^y i + (2x) j + 0k
5. grad (grad g): does not exist as this operation can't be performed twice. correct?
6. curl (grad g) = 0
7. div ( curl F ) = 0
How does the above look?
Many Thanks,
Pete
I'm just working through a few exercises relating to vector functions and vector fields.
Can you look over my working and let me know if I'm on the right track?
vector function: g(x,y,z) = x^3 + y + z^2
vector field F = (2xz , sin y , e^y)
i need to evalute the following:
1. grad g = (3x^2 , 1 , 2z)
2. div g = does not exist. From what I've seen you can't find the div of a vector function. Is this correct?
3. div F = 2z + cos y + 0
4. curl F = e^y i + (2x) j + 0k
5. grad (grad g): does not exist as this operation can't be performed twice. correct?
6. curl (grad g) = 0
7. div ( curl F ) = 0
How does the above look?
Many Thanks,
Pete