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3D Geometry
3D Geometry

Vector Modulus and Dot Product Trick

❓ Question If unit vectors: a ⃗ ,   b ⃗ ,   c ⃗ \vec a,\ \vec b,\ \vec c satisfy: ∣ a ⃗ − b ⃗ ∣ 2 + ∣ b ⃗ − c ⃗ ∣ 2 + ∣ c ⃗ − a ⃗ ∣ 2 = 9 |\vec …

Ellipse Latus Rectum Formula for JEE

❓ Concept Question How do we use shortest distance between skew lines and ellipse formulas together in 3D Geometry problems? πŸ–Ό Concept Image ✍️ Sh…

Shortest Distance Between Lines and Ellipse Relation

❓ Question Let the values of 𝑝 , for which the shortest distance between the lines π‘₯ + 1 3 = 𝑦 4 = 𝑧 5 and π‘Ÿ ⃗ = ( 𝑝 𝑖 ^ + 2 𝑗 ^ + π‘˜ ^ ) +…

Shortest Distance Using Cross Product

❓ Concept JEE 3D geometry mein jab shortest distance diya ho aur Ξ± parameter direction ratios mein aa jaaye — samajh lo cross product ka real …

Shortest Distance Between Lines with Parameter Ξ±

❓ Question If the shortest distance between the lines x − 1 2 = y − 2 3 = z − 3 4 and x 1 = y Ξ± = z − 5 1 \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4…

Line Through Point Intersecting Two Lines

❓ Question Let the line L pass through the point ( 1 ,   1 ,   1 ) (1,\,1,\,1) and intersect the lines x − 1 2 = y + 1 3 = z − 1 4 and x − 3 1 = …