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If this scalar triple product of three non-zoro vectors is zero, then the vectors are
- a)Collinear
- b)Co-directional
- c)Coplanar
- d)Co-terminus
Correct answer is option 'C'. Can you explain this answer?
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If this scalar triple product of three non-zoro vectors is zero, then ...
Explanation:
Scalar Triple Product:
The scalar triple product of three vectors a, b, and c is defined as the dot product of one of the vectors with the cross product of the other two vectors. It is denoted as (a . (b x c)).
Zero Scalar Triple Product:
If the scalar triple product of three non-zero vectors is zero, then it implies that the three vectors are coplanar. This means that the three vectors lie in the same plane.
Explanation of Coplanar Vectors:
When three vectors are coplanar, it means that they can be represented in the same plane without any of the vectors being linearly dependent on the other two. In other words, the vectors can be arranged in such a way that they lie on the same flat surface.
Implications of Coplanar Vectors:
- The vectors do not need to be collinear (lie on the same line) or co-directional (point in the same direction) to be coplanar.
- Coplanar vectors can have different directions and magnitudes but still lie in the same plane.
- Coplanar vectors do not necessarily have to be co-terminus (have the same initial or terminal points).
Therefore, if the scalar triple product of three non-zero vectors is zero, the vectors are coplanar.
Scalar Triple Product:
The scalar triple product of three vectors a, b, and c is defined as the dot product of one of the vectors with the cross product of the other two vectors. It is denoted as (a . (b x c)).
Zero Scalar Triple Product:
If the scalar triple product of three non-zero vectors is zero, then it implies that the three vectors are coplanar. This means that the three vectors lie in the same plane.
Explanation of Coplanar Vectors:
When three vectors are coplanar, it means that they can be represented in the same plane without any of the vectors being linearly dependent on the other two. In other words, the vectors can be arranged in such a way that they lie on the same flat surface.
Implications of Coplanar Vectors:
- The vectors do not need to be collinear (lie on the same line) or co-directional (point in the same direction) to be coplanar.
- Coplanar vectors can have different directions and magnitudes but still lie in the same plane.
- Coplanar vectors do not necessarily have to be co-terminus (have the same initial or terminal points).
Therefore, if the scalar triple product of three non-zero vectors is zero, the vectors are coplanar.
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If this scalar triple product of three non-zoro vectors is zero, then ...
If the scalar triple product of three non-zero vectors is zero, then the vectors are coplanar.
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If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer?
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If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer?.
If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If this scalar triple product of three non-zoro vectors is zero, then the vectors area)Collinearb)Co-directionalc)Coplanard)Co-terminusCorrect answer is option 'C'. Can you explain this answer?.
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