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: ScalarThe 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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dot product is scalar
cross product is vector
curl is cross product
Dot product is scalar and cross product is a vector and curl is a cross product