The Flow Lines (Or Streamlines) of a Vector Field Are

question 13

Short Answer

The flow lines (or streamlines) of a vector field are the paths followed by a particle whose velocity field is the given vector field. Thus, the vectors in a vector field are tangent to the flow lines. The flow lines of the vector field satisfy the differential equations and Solve these differential equations to find the equations of the family of flow lines.

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Definitions:

Proposition

In logic, a declarative sentence or expression that can be evaluated as true or false, distinct from a question or command.

Sentence

A set of words that is complete in itself, typically containing a subject and predicate, conveying a statement, question, exclamation, or command.

Express

To convey or communicate thoughts, feelings, or information clearly and directly.

Proposition

A declarative sentence that can be either true or false, expressing a fact or a statement.