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Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)?
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Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude...
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Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude...
Analysis of Vector Magnitudes
- Let's assume the magnitudes of the vectors are a, b, and √2b.
- Given that P+ Q+ R=0, the vectors sum to zero, which means they form a closed triangle.
- Since two vectors are equal in magnitude, let's consider them as a and a.
- The third vector has a magnitude of √2 times that of the other two, which is √2a.
Determination of Possible Angles
- In a closed triangle formed by the vectors P, Q, and R, the sum of the angles is 180 degrees.
- Let's consider the two equal vectors as a and a, and the third vector as √2a.
- Since the sum of the angles in a triangle is 180 degrees, the angles opposite to the vectors with magnitudes a, a, and √2a must add up to 180 degrees.
- The angles opposite to the vectors with magnitudes a, a, and √2a are x, x, and 2x (assuming x is the angle between vectors of magnitude a, and 2x is the angle between vectors of magnitude √2a).
- Therefore, x + x + 2x = 180 degrees, which simplifies to 4x = 180 degrees, giving x = 45 degrees.
- So, the angles between the vectors can be 45 degrees, 45 degrees, and 90 degrees, which is equivalent to 135 degrees.
Conclusion
- The angles between the vectors can be 45 degrees, 45 degrees, and 90 degrees, which adds up to 180 degrees and satisfies the condition of P+ Q+ R=0.
- Let's assume the magnitudes of the vectors are a, b, and √2b.
- Given that P+ Q+ R=0, the vectors sum to zero, which means they form a closed triangle.
- Since two vectors are equal in magnitude, let's consider them as a and a.
- The third vector has a magnitude of √2 times that of the other two, which is √2a.
Determination of Possible Angles
- In a closed triangle formed by the vectors P, Q, and R, the sum of the angles is 180 degrees.
- Let's consider the two equal vectors as a and a, and the third vector as √2a.
- Since the sum of the angles in a triangle is 180 degrees, the angles opposite to the vectors with magnitudes a, a, and √2a must add up to 180 degrees.
- The angles opposite to the vectors with magnitudes a, a, and √2a are x, x, and 2x (assuming x is the angle between vectors of magnitude a, and 2x is the angle between vectors of magnitude √2a).
- Therefore, x + x + 2x = 180 degrees, which simplifies to 4x = 180 degrees, giving x = 45 degrees.
- So, the angles between the vectors can be 45 degrees, 45 degrees, and 90 degrees, which is equivalent to 135 degrees.
Conclusion
- The angles between the vectors can be 45 degrees, 45 degrees, and 90 degrees, which adds up to 180 degrees and satisfies the condition of P+ Q+ R=0.
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Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)?
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Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)? 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 Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)?.
Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)? 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 Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that P+ Q+ R=0 . Two out of three vectors are equal in magnitude . The magnitude of the third vector is √2 times that of either of the other two . Which of the following can be the angles between these vectors ? (tell me how u find 135 as one of its angle y it can`t b 120 nd all)?.
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