[PDF] a constant vector field

  • What is constant vector field?

    A constant vector is just a single vector that's constant. It's not a function of anything. A vector field is a vector function of position. At each position its value is a vector.

  • Is a constant vector field conservative?

    Answer and Explanation:
    Since the curl is equal to the 0 vector, every constant vector field is conservative.

  • How do you know if a vector is constant?

    a × a = b × b = 0. Cross product of a vector with itself is always zero.
  • Flux means integral of dot product of a vector field with an oriented surface. If the field (vector field) is constant, that means it has zero divergence. So, the divergence theorem is the mathematical support for the integrated flux through a closed surface vanishing.
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