3 Dimensional Geometry Part 5 | Class 12 Math | JEE Main 2026 | LIVE |

In this session, we’ll dive deeper into advanced topics and problem-solving strategies in 3D Geometry, focusing on concepts that are crucial for JEE Main 2026. This part of the series continues to build on your understanding of the key principles, with detailed explanations and targeted practice problems to strengthen your grasp on the subject.
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Direction Cosines of a Line: If the directed line OP makes angles α, β, and γ with positive X-axis, Y-axis and Z-axis respectively, then cos α, cos β, and cos γ, are called direction cosines of a line. They are denoted by l, m, and n. Therefore, l = cos α, m = cos β and n = cos γ. Also, sum of squares of direction cosines of a line is always 1,
i.e. l2 + m2 + n2 = 1 or cos2 α + cos2 β + cos 2 γ = 1
Note: Direction cosines of a directed line are unique.
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