Class 11 Exam > Class 11 Questions > Directions : Each of these questions contain...
Start Learning for Free
Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.
Assertion : τ=r x F and τ=F x r
Reason : Cross product of vectors is commutative.
- a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.
- b)Assertion is correct, reason is correct; reason is not a correct explanation for assertion
- c)Assertion is correct, reason is incorrect
- d)Assertion is incorrect, reason is correct.
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Directions : Each of these questions contain two statements, Assertio...
Assertion and Reason:
- Assertion: τ=r x F
- Reason: Cross product of vectors is commutative.
Explanation:
The cross product of two vectors is a vector that is perpendicular to both of the original vectors. It is denoted by the symbol "x" or "⨯". The magnitude of the cross product is given by the product of the magnitudes of the two vectors and the sine of the angle between them. The direction of the cross product is determined by the right-hand rule.
Assertion is correct, reason is incorrect:
In this case, the assertion is correct, but the reason is incorrect. The cross product of vectors is not commutative. This means that the order in which the vectors are multiplied matters.
Explanation of Assertion:
The assertion states that τ (torque) is equal to the cross product of the vector r (from the point of rotation to the point where the force is applied) and the vector F (force). This is a fundamental formula in physics that relates torque to the force and the distance from the point of rotation.
Explanation of Reason:
The reason given is incorrect. The cross product of vectors is not commutative, which means that the order in which the vectors are multiplied matters. In other words, the cross product of A and B is not necessarily equal to the cross product of B and A.
Conclusion:
In conclusion, the assertion is correct, but the reason given is incorrect. The cross product of vectors is not commutative, and the order in which the vectors are multiplied matters. Therefore, the correct answer is option 'c' - Assertion is correct, reason is incorrect.
- Assertion: τ=r x F
- Reason: Cross product of vectors is commutative.
Explanation:
The cross product of two vectors is a vector that is perpendicular to both of the original vectors. It is denoted by the symbol "x" or "⨯". The magnitude of the cross product is given by the product of the magnitudes of the two vectors and the sine of the angle between them. The direction of the cross product is determined by the right-hand rule.
Assertion is correct, reason is incorrect:
In this case, the assertion is correct, but the reason is incorrect. The cross product of vectors is not commutative. This means that the order in which the vectors are multiplied matters.
Explanation of Assertion:
The assertion states that τ (torque) is equal to the cross product of the vector r (from the point of rotation to the point where the force is applied) and the vector F (force). This is a fundamental formula in physics that relates torque to the force and the distance from the point of rotation.
Explanation of Reason:
The reason given is incorrect. The cross product of vectors is not commutative, which means that the order in which the vectors are multiplied matters. In other words, the cross product of A and B is not necessarily equal to the cross product of B and A.
Conclusion:
In conclusion, the assertion is correct, but the reason given is incorrect. The cross product of vectors is not commutative, and the order in which the vectors are multiplied matters. Therefore, the correct answer is option 'c' - Assertion is correct, reason is incorrect.
Free Test
FREE
| Start Free Test |
Community Answer
Directions : Each of these questions contain two statements, Assertio...
Cross-product of two vectors is anticommutative.
Cross product of vectors is not commutative.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Question Description
Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer?.
Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions : Each of these questions contain two statements, Assertion and Reason. Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.Assertion : τ=r x F and τ=F x rReason : Cross product of vectors is commutative.a)Assertion is correct, reason is correct; reason is a correct explanation for assertion.b)Assertion is correct, reason is correct; reason is not a correct explanation for assertionc)Assertion is correct, reason is incorrectd)Assertion is incorrect, reason is correct.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup to solve all Doubts
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