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If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B?
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If the resultant of two vectors A and B is perpendicular to A then wha...
Explanation:
When the resultant of two vectors A and B is perpendicular to A, it means that the vectors are orthogonal to each other. In this case, the dot product of A and B is zero. The dot product of two vectors A and B is given by:
A.B = |A| * |B| * cos(theta)
where |A| and |B| are magnitudes of vectors A and B respectively, and theta is the angle between them.
Since A.B = 0, it follows that cos(theta) = 0. This means that theta is either 90 degrees or 270 degrees. However, since the resultant is perpendicular to A, it follows that the angle between A and B is 90 degrees.
Conclusion:
Therefore, the angle between A and B is 90 degrees when the resultant of two vectors A and B is perpendicular to A.
When the resultant of two vectors A and B is perpendicular to A, it means that the vectors are orthogonal to each other. In this case, the dot product of A and B is zero. The dot product of two vectors A and B is given by:
A.B = |A| * |B| * cos(theta)
where |A| and |B| are magnitudes of vectors A and B respectively, and theta is the angle between them.
Since A.B = 0, it follows that cos(theta) = 0. This means that theta is either 90 degrees or 270 degrees. However, since the resultant is perpendicular to A, it follows that the angle between A and B is 90 degrees.
Conclusion:
Therefore, the angle between A and B is 90 degrees when the resultant of two vectors A and B is perpendicular to A.
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If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B?.
If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B? for Class 11 2025 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B? covers all topics & solutions for Class 11 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the resultant of two vectors A and B is perpendicular to A then what is the angle between A and B?.
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