For any two vectors A and B if A ⋅ B = ∣ A × B ∣ , the magnitude of ( A + B ) is ( tan 4 π = 1 , cos 4 π = 2 1 )

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For any two vectors A and B if A ⋅ B = ∣ A × B ∣ , the magnitude of ( A + B ) is ( tan 4 π ​ = 1 , cos 4 π ​ = 2 ​ 1 ​ )

TestHub · Accepted Answer

From the given condition, AB cos θ = AB sin θ So, θ = 4 5 ∘ Magnitude of A + B will be, ∣ A + B ∣ = A 2 + B 2 + 2 AB cos 4 5 ∘ ​ = A 2 + B 2 + 2 A B × 2 ​ 1 ​ ​ = A 2 + B 2 + 2 ​ A B ​

Physics - Vectors Question with Solution | TestHub

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