**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:**

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**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:**