The resultant of two vectors A and B subtends an angle of 45∘degrees, with either of them. The magnitude of the resultant is
Answers
Explanation:
If the resultant of two vectors A and B subtends at an angle of 45° with either of them, what will be the mod of the resultant vector?
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A is perpendicular to B, and they have the same length. Therefore, ∥A+B∥2=∥A∥2+∥B∥2, by the Pythagorean Theorem. Since ∥A∥2=∥B∥2 , ∥A+B∥2=2∥A∥2, so ∥A+B∥=2–√∥A∥.
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