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Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66?
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Greatest resultant of of 2 vectors is 12 resultant if angle between th...
Calculation of Resultant Vector with a 66-degree Angle:
1. Find the Individual Components of the Vectors:
Given that the greatest resultant of the two vectors is 12 with an angle of 90 degrees (root 74), we can represent the vectors as:
- Vector A = 12i
- Vector B = 12j
2. Calculate the Resultant Vector:
To find the resultant vector with a 66-degree angle between them, we need to calculate the components of the vectors in the x and y directions:
- Vector A = 12cos(66)i + 12sin(66)j
- Vector B = 12cos(24)i + 12sin(24)j
3. Find the Magnitudes of the Vectors:
Calculate the magnitudes of the two vectors using the Pythagorean theorem:
- |Vector A| = √(12^2cos^2(66) + 12^2sin^2(66))
- |Vector B| = √(12^2cos^2(24) + 12^2sin^2(24))
4. Calculate the Resultant Vector:
Add the two vectors to find the resultant vector:
- Resultant Vector = Vector A + Vector B
5. Find the Magnitude of the Resultant Vector:
Calculate the magnitude of the resultant vector using the Pythagorean theorem:
- |Resultant Vector| = √((12cos(66) + 12cos(24))^2 + (12sin(66) + 12sin(24))^2)
6. Final Calculation:
Substitute the values and calculate the magnitude of the resultant vector with a 66-degree angle between the two vectors.
Therefore, by following these steps, you can calculate the resultant vector when the angle between the two vectors is 66 degrees.
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Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66?
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Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66?.
Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Greatest resultant of of 2 vectors is 12 resultant if angle between them is 90 is root 74 find the resultant if angle between them is 66?.
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