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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?
Most Upvoted 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).
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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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The divergence of a vector is a scalar. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2025 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about The divergence of a vector is a scalar. State True/False.a)Trueb)FalseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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