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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 : The scalar product of two vectors can be zero.
Reason : If two vectors are perpendicular to each other, their scalar product will be zero.
- 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 'B'. Can you explain this answer?
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Directions : Each of these questions contain two statements, Assertio...
If θ be the angle between two vectors 
, then their scalar product, 
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, then their scalar product, If θ = 90 degrees then 
I.e. if 
are perpendicular to each other then their scalar product will be zero.
are perpendicular to each other then their scalar product will be zero.Most Upvoted Answer
Directions : Each of these questions contain two statements, Assertio...
Assertion is correct, reason is correct; reason is not a correct explanation for assertion.
Explanation:
The scalar product, also known as the dot product, is a mathematical operation between two vectors that results in a scalar quantity. It is defined as the product of the magnitudes of the two vectors multiplied by the cosine of the angle between them.
The assertion states that the scalar product of two vectors can be zero, which is true. This occurs when the angle between the two vectors is 90 degrees or pi/2 radians. In this case, the cosine of 90 degrees is zero, resulting in a scalar product of zero.
The reason given for this assertion is that if two vectors are perpendicular to each other, their scalar product will be zero. This is also true, as mentioned above. When two vectors are perpendicular, the angle between them is 90 degrees, and the cosine of 90 degrees is zero. Therefore, their scalar product will indeed be zero.
However, the reason is not a correct explanation for the assertion because it only applies to the specific case of perpendicular vectors. The scalar product can be zero for other reasons as well, such as when one or both of the vectors have zero magnitude or when the angle between them is an odd multiple of pi/2 radians.
In conclusion, the assertion is correct, as the scalar product of two vectors can be zero. The reason is also correct, but it is not a complete and general explanation for the assertion, as there are other scenarios where the scalar product can be zero. Therefore, the correct answer is option (b) - Assertion is correct, reason is correct; reason is not a correct explanation for assertion.
Explanation:
The scalar product, also known as the dot product, is a mathematical operation between two vectors that results in a scalar quantity. It is defined as the product of the magnitudes of the two vectors multiplied by the cosine of the angle between them.
The assertion states that the scalar product of two vectors can be zero, which is true. This occurs when the angle between the two vectors is 90 degrees or pi/2 radians. In this case, the cosine of 90 degrees is zero, resulting in a scalar product of zero.
The reason given for this assertion is that if two vectors are perpendicular to each other, their scalar product will be zero. This is also true, as mentioned above. When two vectors are perpendicular, the angle between them is 90 degrees, and the cosine of 90 degrees is zero. Therefore, their scalar product will indeed be zero.
However, the reason is not a correct explanation for the assertion because it only applies to the specific case of perpendicular vectors. The scalar product can be zero for other reasons as well, such as when one or both of the vectors have zero magnitude or when the angle between them is an odd multiple of pi/2 radians.
In conclusion, the assertion is correct, as the scalar product of two vectors can be zero. The reason is also correct, but it is not a complete and general explanation for the assertion, as there are other scenarios where the scalar product can be zero. Therefore, the correct answer is option (b) - Assertion is correct, reason is correct; reason is not a correct explanation for assertion.
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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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer?
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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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer? for Class 11 2024 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer? for Class 11 2024 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer? covers all topics & solutions for Class 11 2024 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 11.
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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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. 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 : The scalar product of two vectors can be zero.Reason : If two vectors are perpendicular to each other, their scalar product will be zero.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 'B'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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