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3D Geometry

453 Questions Start JEE Mains Test
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1983 Q451 JEE Advanced Numerical
14 Mar 2026
The unit vector perpendicular to the plane determined by $P\left( {1, - 1,2} \right),\,Q\left( {2,0, - 1} \right)$ and $R\left( {0,2,1} \right)$ is ...........
1983 Q452 JEE Advanced Numerical
14 Mar 2026
The area of the triangle whose vertices are $A(1, -1, 2), B(2, 1, -1), C(3, -1, 2)$ is ..........
1978 Q453 JEE Advanced Numerical
14 Mar 2026
From a point $O$ inside a triangle $ABC,$ perpendiculars $OD$, $OE, OF$ are drawn to the sides $BC, CA, AB$ respectively. Prove that the perpendiculars from $A, B, C$ to the sides $EF, FD, DE$ are concurrent.