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Points -2i - j, 4i, 3i + 3j, -3i + 2j: what kind of quadrilateral

The same question, asked 2 times: 15 May 2023 S2, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    15 May 2023 S2

    102
    Let P,Q,RP,Q,R and SS be the points on the plane with position vectors −2i^−j^, 4i^, 3i^+3j^-2\hat{i}-\hat{j},\, 4\hat{i},\, 3\hat{i}+3\hat{j} and −3i^+2j^-3\hat{i}+2\hat{j} respectively. Then the quadrilateral PQRS must be a

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  2. Question 2

    16 Apr 2026 S1

    86
    Let A, B, C, D be the points in the plane with position vectors −2i^−j^,4i^,3i^+3j^-2\hat{i} - \hat{j}, 4\hat{i}, 3\hat{i} + 3\hat{j} and −3i^+2j^-3\hat{i} + 2\hat{j} respectively, then □\squareABCD is

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