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What is the difference between position vector and unit vector?
- a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no direction
- b)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no direction
- c)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no direction
- d)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified direction
Correct answer is option 'D'. Can you explain this answer?
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What is the difference between position vector and unit vector?a)Posit...
As position vector defines the position of the point in the Cartesian plane wit respect of the origin, it will definitely have a direction and also a magnitude. Unit vector is a vector whose magnitude is = 1 and is having a specific direction.
Most Upvoted Answer
What is the difference between position vector and unit vector?a)Posit...
Position vector and Unit vector are both used in vector analysis, but they have different characteristics and purposes. Let's discuss each of them in detail.
Position Vector:
A position vector is a vector that represents the position of a point in a coordinate system. It is defined as the vector that originates from the origin of the coordinate system and terminates at the point of interest. The position vector has both magnitude and direction. The magnitude of the position vector represents the distance of the point from the origin, while the direction of the position vector represents the direction from the origin to the point.
Unit Vector:
A unit vector is a vector that has a magnitude of 1. It is used to represent a specific direction in a coordinate system. Unit vectors are often used to describe the direction of a vector or to define the coordinate axes in a coordinate system. A unit vector does not have a specific magnitude other than 1, but it can have any direction.
Difference between Position Vector and Unit Vector:
1. Magnitude:
- Position vector: A position vector can have any magnitude depending on the distance of the point from the origin. It is not restricted to a magnitude of 1.
- Unit vector: A unit vector always has a magnitude of 1. It represents a specific direction but does not have a specific magnitude other than 1.
2. Direction:
- Position vector: A position vector represents the direction from the origin to the point of interest. It has a specific direction based on the location of the point.
- Unit vector: A unit vector represents a specific direction in a coordinate system. It can be used to define the direction of a vector or the coordinate axes.
3. Purpose:
- Position vector: A position vector is used to describe the position of a point in a coordinate system. It is often used in calculations involving displacement, velocity, and acceleration.
- Unit vector: A unit vector is used to represent a specific direction in a coordinate system. It is commonly used in vector operations, such as finding the dot product or cross product of vectors.
In conclusion, the main difference between a position vector and a unit vector is that a position vector has both magnitude and direction, representing the position of a point in a coordinate system, while a unit vector has a magnitude of 1 and is used to represent a specific direction in a coordinate system.
Position Vector:
A position vector is a vector that represents the position of a point in a coordinate system. It is defined as the vector that originates from the origin of the coordinate system and terminates at the point of interest. The position vector has both magnitude and direction. The magnitude of the position vector represents the distance of the point from the origin, while the direction of the position vector represents the direction from the origin to the point.
Unit Vector:
A unit vector is a vector that has a magnitude of 1. It is used to represent a specific direction in a coordinate system. Unit vectors are often used to describe the direction of a vector or to define the coordinate axes in a coordinate system. A unit vector does not have a specific magnitude other than 1, but it can have any direction.
Difference between Position Vector and Unit Vector:
1. Magnitude:
- Position vector: A position vector can have any magnitude depending on the distance of the point from the origin. It is not restricted to a magnitude of 1.
- Unit vector: A unit vector always has a magnitude of 1. It represents a specific direction but does not have a specific magnitude other than 1.
2. Direction:
- Position vector: A position vector represents the direction from the origin to the point of interest. It has a specific direction based on the location of the point.
- Unit vector: A unit vector represents a specific direction in a coordinate system. It can be used to define the direction of a vector or the coordinate axes.
3. Purpose:
- Position vector: A position vector is used to describe the position of a point in a coordinate system. It is often used in calculations involving displacement, velocity, and acceleration.
- Unit vector: A unit vector is used to represent a specific direction in a coordinate system. It is commonly used in vector operations, such as finding the dot product or cross product of vectors.
In conclusion, the main difference between a position vector and a unit vector is that a position vector has both magnitude and direction, representing the position of a point in a coordinate system, while a unit vector has a magnitude of 1 and is used to represent a specific direction in a coordinate system.
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What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer?
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What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer?.
What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the difference between position vector and unit vector?a)Position vector has magnitude = 1 and direction, while unit vector has magnitude = 0 and no directionb)Position vector has magnitude = 0 and direction, while unit vector has magnitude = 0 and no directionc)Position vector has some magnitude and direction, while unit vector has magnitude = 0 and no directiond)Position vector has some magnitude and direction, while unit vector has magnitude = 1 and a specified directionCorrect answer is option 'D'. Can you explain this answer?.
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