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The divergence of a vector is a scalar. State True/False.
- a)True
- b)False
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The divergence of a vector is a scalar. State True/False.a)Trueb)False...
Answer: a
Explanation: Divergence can be computed only for a vector. Since it is the measure of outward flow of flux from a small closed surface as the volume shrinks to zero, the result will be directionless (scalar).
Explanation: Divergence can be computed only for a vector. Since it is the measure of outward flow of flux from a small closed surface as the volume shrinks to zero, the result will be directionless (scalar).
Most Upvoted Answer
The divergence of a vector is a scalar. State True/False.a)Trueb)False...
Divergence of a Vector
The divergence of a vector field is a scalar quantity that represents the magnitude of the source or sink at a particular point in the field. It is an important concept in physics and engineering, particularly in the study of fluid mechanics and electromagnetism.
True or False
The statement "The divergence of a vector is a scalar" is TRUE.
Explanation
The divergence of a vector field is defined as the scalar product of the del operator and the vector field. Mathematically, it can be expressed as:
div F = ∇·F
where F is the vector field and ∇ is the del operator.
The result of this operation is a scalar quantity that represents the magnitude of the source or sink at a particular point in the field. It tells us whether a given point in the field is a source or a sink, and the strength of that source or sink.
Therefore, it is true that the divergence of a vector field is a scalar quantity.
The divergence of a vector field is a scalar quantity that represents the magnitude of the source or sink at a particular point in the field. It is an important concept in physics and engineering, particularly in the study of fluid mechanics and electromagnetism.
True or False
The statement "The divergence of a vector is a scalar" is TRUE.
Explanation
The divergence of a vector field is defined as the scalar product of the del operator and the vector field. Mathematically, it can be expressed as:
div F = ∇·F
where F is the vector field and ∇ is the del operator.
The result of this operation is a scalar quantity that represents the magnitude of the source or sink at a particular point in the field. It tells us whether a given point in the field is a source or a sink, and the strength of that source or sink.
Therefore, it is true that the divergence of a vector field is a scalar quantity.
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Community Answer
The divergence of a vector is a scalar. State True/False.a)Trueb)False...
Mathematically, Divergence is the dot product of delta operator with vector field and dot product always gives scalar output. Physically, the divergence of a vector quantity only indicates how much a vector is spreading out from a certain point and not in which direction. Thus, the divergence of a vector is always scalar.
Important facts:
Divergence of a magnetic field is always zero.
Divergence of an electric field around a positive charge is always positive.
Divergence of an electric field around a negative charge is always negative.
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The divergence of a vector is a scalar. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer?
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