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The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ?
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The resultant of vector P and vector Q is R. If magnitude of vector Q ...
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The resultant of vector P and vector Q is R. If magnitude of vector Q ...
Given:
- The resultant of vector P and vector Q is R.
- When the magnitude of vector Q is doubled, the magnitude of the resultant is also doubled.
- When the direction of vector Q is reversed from the initial condition, the magnitude of the resultant is also doubled.
To find: P:Q:R
Explanation:
Let's assume the initial magnitude of vector Q as Q and the initial magnitude of the resultant as R.
Case 1: Doubling the magnitude of vector Q
When the magnitude of vector Q is doubled, its new magnitude becomes 2Q. According to the given condition, the magnitude of the resultant is also doubled. Therefore, the new magnitude of the resultant is 2R.
Case 2: Reversing the direction of vector Q
When the direction of vector Q is reversed, its magnitude remains the same, i.e., Q. According to the given condition, the magnitude of the resultant is also doubled. Therefore, the new magnitude of the resultant is 2R.
Comparing Case 1 and Case 2:
In both cases, the magnitude of the resultant is 2R. This means that doubling the magnitude of vector Q and reversing its direction have the same effect on the magnitude of the resultant.
Conclusion:
From the above analysis, we can conclude that the magnitude of vector Q does not affect the magnitude of the resultant. Only the direction of vector Q affects the magnitude of the resultant.
Therefore, the ratio of P:Q:R is 1:1:2. The magnitudes of vector P and vector Q are equal, and the magnitude of the resultant is twice the magnitude of either vector.
- The resultant of vector P and vector Q is R.
- When the magnitude of vector Q is doubled, the magnitude of the resultant is also doubled.
- When the direction of vector Q is reversed from the initial condition, the magnitude of the resultant is also doubled.
To find: P:Q:R
Explanation:
Let's assume the initial magnitude of vector Q as Q and the initial magnitude of the resultant as R.
Case 1: Doubling the magnitude of vector Q
When the magnitude of vector Q is doubled, its new magnitude becomes 2Q. According to the given condition, the magnitude of the resultant is also doubled. Therefore, the new magnitude of the resultant is 2R.
Case 2: Reversing the direction of vector Q
When the direction of vector Q is reversed, its magnitude remains the same, i.e., Q. According to the given condition, the magnitude of the resultant is also doubled. Therefore, the new magnitude of the resultant is 2R.
Comparing Case 1 and Case 2:
In both cases, the magnitude of the resultant is 2R. This means that doubling the magnitude of vector Q and reversing its direction have the same effect on the magnitude of the resultant.
Conclusion:
From the above analysis, we can conclude that the magnitude of vector Q does not affect the magnitude of the resultant. Only the direction of vector Q affects the magnitude of the resultant.
Therefore, the ratio of P:Q:R is 1:1:2. The magnitudes of vector P and vector Q are equal, and the magnitude of the resultant is twice the magnitude of either vector.
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The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ?
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The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ? 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 The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ?.
The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ? 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 The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resultant of vector P and vector Q is R. If magnitude of vector Q is doubled, magnitude of resultant is also doubled, when direction of vector Q is reversed from initial condition then magnitude of resultant is also doubled, find P:Q:R ?.
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