Question: The sum of two vectors A and B is at right angles to their difference. Then
(A) 𝐴 = 𝐵
(B) 𝐴 = 2𝐵
(C) 𝐵 = 2𝐴
(D) \overrightarrow{A} and\overrightarrow{B} have the same direction
Answer: option (A)
Solution:
The sum of two vectors A and B is at right angles to their difference. Then
with
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