WaleedEhsan04
New member
- Joined
- May 25, 2018
- Messages
- 1
Hello,
Hope you are all having a good day. I am going over this question as revision and would like to find out if I am approaching it correctly. The question is the following:
Let F and U be a vector field and a scalar fieldrespectively. For each of the following expressions, state whether it is a scalar field(scalar), a vector field (vector) or an invalid expression (invalid):
• U^2(∇ × F) · (∇ · F)
• U(∇ · F)∇(∇ · F)
• ∇ × (∇U)
• ∇ × ∇(∇ · F)
Okay so for the first bullet point U^2 (∇ × F) · (∇ · F) my answer is: Vector Field
For the second bullet point U(∇ · F)∇(∇ · F) my answer is: Vector Field
For the third bullet point ∇ × (∇U) my answer is: Vector Field
For the fourth bullet point ∇ × ∇(∇ · F) my answer is: Vector Field
I know that it is unlikely that all of them are a vector field, but can anyone correct me if I am wrong? Any feedback would be appreciated.
Thank you
Hope you are all having a good day. I am going over this question as revision and would like to find out if I am approaching it correctly. The question is the following:
Let F and U be a vector field and a scalar fieldrespectively. For each of the following expressions, state whether it is a scalar field(scalar), a vector field (vector) or an invalid expression (invalid):
• U^2(∇ × F) · (∇ · F)
• U(∇ · F)∇(∇ · F)
• ∇ × (∇U)
• ∇ × ∇(∇ · F)
Okay so for the first bullet point U^2 (∇ × F) · (∇ · F) my answer is: Vector Field
For the second bullet point U(∇ · F)∇(∇ · F) my answer is: Vector Field
For the third bullet point ∇ × (∇U) my answer is: Vector Field
For the fourth bullet point ∇ × ∇(∇ · F) my answer is: Vector Field
I know that it is unlikely that all of them are a vector field, but can anyone correct me if I am wrong? Any feedback would be appreciated.
Thank you