NEET Exam > NEET Questions > When two vectors in the same direction are ad...
Start Learning for Free
When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______
- a)Sum of magnitudes of the vectors
- b)Difference of magnitudes of the vectors
- c)Product of magnitudes of the vectors
- d)Sum of the roots of magnitudes of the vectors
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
When two vectors in the same direction are added, the magnitude of res...
When two vectors are added, the resulting vector is called the resultant vector. The magnitude of the resultant vector is determined by the magnitudes of the two vectors being added.
Explanation:
- Definition of Magnitude: The magnitude of a vector represents its size or length. It is a scalar value and is always positive.
- Addition of Vectors: When two vectors are added, their magnitudes are combined to obtain the magnitude of the resultant vector. The direction of the resultant vector is determined by the directions of the two vectors being added.
- Same Direction: When two vectors are in the same direction, it means they have the same angle with respect to a reference axis. In this case, the magnitude of the resultant vector is equal to the sum of the magnitudes of the individual vectors.
- Example: Let's consider two vectors A and B, both having a magnitude of 5 units and are in the same direction. When these vectors are added, the magnitude of the resultant vector is 5 + 5 = 10 units.
- Geometric Representation: Geometrically, when two vectors are in the same direction, they lie on the same line. Adding them simply extends the line and increases its length. The magnitude of the resultant vector represents the length of the extended line.
- Algebraic Representation: Algebraically, if A and B are the magnitudes of two vectors in the same direction, the magnitude of the resultant vector R can be represented as R = A + B.
Therefore, the correct answer is option 'A': The magnitude of the resulting vector is equal to the sum of the magnitudes of the vectors.
Explanation:
- Definition of Magnitude: The magnitude of a vector represents its size or length. It is a scalar value and is always positive.
- Addition of Vectors: When two vectors are added, their magnitudes are combined to obtain the magnitude of the resultant vector. The direction of the resultant vector is determined by the directions of the two vectors being added.
- Same Direction: When two vectors are in the same direction, it means they have the same angle with respect to a reference axis. In this case, the magnitude of the resultant vector is equal to the sum of the magnitudes of the individual vectors.
- Example: Let's consider two vectors A and B, both having a magnitude of 5 units and are in the same direction. When these vectors are added, the magnitude of the resultant vector is 5 + 5 = 10 units.
- Geometric Representation: Geometrically, when two vectors are in the same direction, they lie on the same line. Adding them simply extends the line and increases its length. The magnitude of the resultant vector represents the length of the extended line.
- Algebraic Representation: Algebraically, if A and B are the magnitudes of two vectors in the same direction, the magnitude of the resultant vector R can be represented as R = A + B.
Therefore, the correct answer is option 'A': The magnitude of the resulting vector is equal to the sum of the magnitudes of the vectors.
Free Test
FREE
| Start Free Test |
Community Answer
When two vectors in the same direction are added, the magnitude of res...
Consider the graphical representation of these two vectors. When one vector is added to the other in the same direction, the lengths will be added. The resultant vector will bear the resultant length. Length is the magnitude of the vector. Hence the magnitudes add to give the magnitude of the resultant vector.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Similar NEET Doubts
Top Courses for NEETView all
When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer?
Question Description
When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer?.
When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer?.
Solutions for When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______a)Sum of magnitudes of the vectorsb)Difference of magnitudes of the vectorsc)Product of magnitudes of the vectorsd)Sum of the roots of magnitudes of the vectorsCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup