The position vectors of the vertices A, B, Cand D of a quadrilateral ABCD are given by 3i^{^} + 4j^{^}−2k^{^} , 4i^{^}−4j^{^}−3k^{^}, 2i^{^}−3j^{^} + 2k^{^} and 6i^{^}−2j^{^} + k^{^} respectively. What is the angle between the diagonals AC and BD of the quadrilateral?

UPSC NDA II 2025 Mathematics Paper

Question : 69 of 120

Marks: +1, -0

The position vectors of the vertices A, B, Cand D of a quadrilateral ABCD are given by 3

‌

−2

‌

, 4

‌

−4

‌

−3

‌

, 2

‌

−3

‌

and 6

‌

−2

‌

respectively.
What is the angle between the diagonals AC and BD of the quadrilateral?

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