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.
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