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Which of the following statement is incorrect?
- a)The magnitude of a vector is always a scalar.
- b)Each component of a vector is always a scalar.
- c)The average speed of a particle is either greater or equal to the magnitude of average velocity of the particle over the same interval of time.
- d)Three vectors not lying in a plane can never add up to give a null vector.
- e)None of the above/More than one of the above
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following statement is incorrect?a)The magnitude of a vec...
The incorrect statement is option 'B': Each component of a vector is always a scalar.
Explanation:
A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow or a line segment with an arrowhead. Vectors are commonly used in physics to represent physical quantities such as displacement, velocity, acceleration, and force.
Components of a Vector:
A vector can be broken down into its components along different axes. For example, in a two-dimensional Cartesian coordinate system, a vector can be represented by its x-component and y-component. Similarly, in a three-dimensional Cartesian coordinate system, a vector can be represented by its x-component, y-component, and z-component.
Scalar and Vector Quantities:
A scalar quantity is a physical quantity that has only magnitude and no direction. Examples of scalar quantities include mass, temperature, time, and speed. Scalar quantities are represented by a single numerical value.
On the other hand, a vector quantity is a physical quantity that has both magnitude and direction. Examples of vector quantities include displacement, velocity, acceleration, and force. Vectors are represented by both magnitude and direction.
Explanation of Incorrect Statement:
The statement "Each component of a vector is always a scalar" is incorrect. The components of a vector can be either scalar or vector quantities depending on the context.
- Scalar Components: In some cases, the components of a vector can be scalar quantities. For example, if a vector represents displacement in one-dimensional motion, its components along the x-axis or y-axis will be scalar quantities.
- Vector Components: In most cases, the components of a vector are vector quantities. For example, if a vector represents velocity in two-dimensional motion, its x-component and y-component will also be vectors because they have both magnitude and direction.
Therefore, the statement is incorrect as the components of a vector can be either scalar or vector quantities depending on the context.
Explanation:
A vector is a mathematical quantity that has both magnitude and direction. It is represented by an arrow or a line segment with an arrowhead. Vectors are commonly used in physics to represent physical quantities such as displacement, velocity, acceleration, and force.
Components of a Vector:
A vector can be broken down into its components along different axes. For example, in a two-dimensional Cartesian coordinate system, a vector can be represented by its x-component and y-component. Similarly, in a three-dimensional Cartesian coordinate system, a vector can be represented by its x-component, y-component, and z-component.
Scalar and Vector Quantities:
A scalar quantity is a physical quantity that has only magnitude and no direction. Examples of scalar quantities include mass, temperature, time, and speed. Scalar quantities are represented by a single numerical value.
On the other hand, a vector quantity is a physical quantity that has both magnitude and direction. Examples of vector quantities include displacement, velocity, acceleration, and force. Vectors are represented by both magnitude and direction.
Explanation of Incorrect Statement:
The statement "Each component of a vector is always a scalar" is incorrect. The components of a vector can be either scalar or vector quantities depending on the context.
- Scalar Components: In some cases, the components of a vector can be scalar quantities. For example, if a vector represents displacement in one-dimensional motion, its components along the x-axis or y-axis will be scalar quantities.
- Vector Components: In most cases, the components of a vector are vector quantities. For example, if a vector represents velocity in two-dimensional motion, its x-component and y-component will also be vectors because they have both magnitude and direction.
Therefore, the statement is incorrect as the components of a vector can be either scalar or vector quantities depending on the context.
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Community Answer
Which of the following statement is incorrect?a)The magnitude of a vec...
Statement 2 is incorrect because each component of a vector is always a vector, not scalar.
- The magnitude of a vector is always a scalar. For instance magnitude of the velocity of a body moving in a straight line may be equal to the speed of the body.
- The average speed of a particle is either greater or equal to the magnitude of average velocity of the particle over the same interval of time. Because the total path length is either greater than or equal to the magnitude of the displacement vector.
- Three vectors not lying in a plane can never add up to give a null vector. Because the resultant of two vectors will not lie in the plane of third vector and hence cannot cancel its effect to give null vector.
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Which of the following statement is incorrect?a)The magnitude of a vector is always a scalar.b)Each component of a vector is always a scalar.c)The average speed of a particle is either greater or equal to the magnitude of average velocity of the particle over the same interval of time.d)Three vectors not lying in a plane can never add up to give a null vector.e)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer?
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Which of the following statement is incorrect?a)The magnitude of a vector is always a scalar.b)Each component of a vector is always a scalar.c)The average speed of a particle is either greater or equal to the magnitude of average velocity of the particle over the same interval of time.d)Three vectors not lying in a plane can never add up to give a null vector.e)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer? for BPSC (Bihar) 2024 is part of BPSC (Bihar) preparation. The Question and answers have been prepared according to the BPSC (Bihar) exam syllabus. Information about Which of the following statement is incorrect?a)The magnitude of a vector is always a scalar.b)Each component of a vector is always a scalar.c)The average speed of a particle is either greater or equal to the magnitude of average velocity of the particle over the same interval of time.d)Three vectors not lying in a plane can never add up to give a null vector.e)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for BPSC (Bihar) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is incorrect?a)The magnitude of a vector is always a scalar.b)Each component of a vector is always a scalar.c)The average speed of a particle is either greater or equal to the magnitude of average velocity of the particle over the same interval of time.d)Three vectors not lying in a plane can never add up to give a null vector.e)None of the above/More than one of the aboveCorrect answer is option 'B'. Can you explain this answer?.
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