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Condition for the sum of two vectors to be perpendicular to their difference

The same question, asked 3 times: 26 Apr 2025 S2, 11 Apr 2026 S2, 13 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    26 Apr 2025 S2

    27
    The vector sum of two forces A→\overrightarrow{A} and B→\overrightarrow{B} is perpendicular to their vector difference. Hence forces A→\overrightarrow{A} and B→\overrightarrow{B} are

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  2. Question 2

    11 Apr 2026 S2

    102
    The vectors (A⃗+B⃗)(\vec{A} + \vec{B}) and (A⃗−B⃗)(\vec{A} - \vec{B}) are perpendicular to each other. This is possible under the condition

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  3. Question 3

    13 Apr 2026 S1

    102
    The vector sum of the two forces A⃗\vec{A} and B⃗\vec{B} is perpendicular to their vector difference. Hence forces A⃗\vec{A} and B⃗\vec{B} are

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