NDA 2025 · PYQ · 3D Geometry · medium
A(1, 2, -1), B(2, 5, -2) and C(4, 4, -3) are three vertices of a rectangle. What is the area of the rectangle?
- A.8 square units
- B.9 square units
- C.√66 square units✓ Correct
- D.√68 square units
AB = (1,3,-1), |AB| = √11. BC = (2,-1,-1), |BC| = √6. Check perpendicular: AB·BC = 2-3+1 = 0. ✓. Area = √11 · √6 = √66.
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