The sum of the magnitudes of two vectors A and B is 8 and magnitude of the resultant is 4. If the resultant vector is perpendicular to any one vector, then the magnitudes of the two vectors A and B ar

Question

The sum of the magnitudes of two vectors A and B is 8 and magnitude of the resultant is 4. If the resultant vector is perpendicular to any one vector, then the magnitudes of the two vectors A and B are

TestHub · Accepted Answer

∴ ​ ∣ A ∣ = 5 ∣ B ∣ = 8 − 5 = 3 ​ ∣ A + B ∣ = 4 ∣ A ∣ + ∣ B ∣ = 8 abo A ​ 2 = ∣ B ∣ 2 ∣ R ∣ 2 ∣ A ∣ 2 = ( 8 − ∣ A ∣ ) 2 + 4 2 ∣ A ∣ 2 = 64 + ∣ A ∣ 2 − 16∣ A ∣ + 16 580 = 16∣ A ∣ ∣ A ∣= 5

Physics - Vectors Question with Solution | TestHub

Options:

Doubts & Discussion