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The divergence of a vector is a scalar, while the curl of a vector is another

A. Scalar

B. Vector

C. Unit vector

D. None of the above

Answer: Option B

Solution (By Examveda Team)

Option A: Scalar
The divergence of a vector field is a scalar quantity; however, the curl of a vector field is not a scalar. The curl represents a rotational effect, which requires more than a single value to describe.

Option B: Vector
The curl of a vector field is indeed another vector. It represents the rotation or circulation of the vector field at a point and is defined by a vector perpendicular to the plane of rotation, with its magnitude indicating the strength of the rotation.

Option C: Unit vector
A unit vector has a magnitude of one and represents direction. The curl of a vector field is not necessarily a unit vector; it depends on the magnitude of the rotation within the field.

Option D: None of the above
This option is incorrect because the curl of a vector field is not undefined. It is explicitly a vector quantity and is described by standard mathematical operations.

Conclusion:
The correct answer is Option B: Vector, as the curl of a vector is another vector that describes the rotation of the field.

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Comments (2)

  1. Smitha Saji
    Smitha Saji:
    5 years ago

    dot product is scalar
    cross product is vector
    curl is cross product

  2. Smitha Saji
    Smitha Saji:
    5 years ago

    Dot product is scalar and cross product is a vector and curl is a cross product

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