The magnitude of the 𝑋 and 𝑌 components of A are 7 and 6. Also the magnitudes of 𝑋 and 𝑌 components of A+ B are 11 and 9 respectively. What is the magnitude of B ?

Question : The magnitude of the 𝑋 and 𝑌 components of A⃗ are 7 and 6. Also the magnitudes of 𝑋 and 𝑌 components of A+ B are 11 and 9 respectively. What is the magnitude of B ?

(A) 5

(B) 6

(C) 8

(D) 9

Answer : option (A)

Solution :

The magnitude of the 𝑋 and 𝑌 components of A⃗ are 7 and 6. Also the magnitudes of 𝑋 and 𝑌 components of A+ B are 11 and 9 respectively. What is the magnitude of B ?
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