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Friday, 9 October

JEE Main Maths · Three Dimensional Geometry

Vector Shortest Distance Formula

Vector Shortest Distance Formula (Three Dimensional Geometry) was asked 5 times in 5 JEE Main shifts, 2022–2026, out of the 42 shifts Lumi analysed. 1 of the 5 had a numerical answer.

Times asked
5
in 5 shifts
Years
2022–2026
Usual format
Single correct
Calculation
Pattern
Frequent
repeats across shifts

How it is asked

  • Shortest distance between skew lines
  • Shortest distance between skew lines then ellipse property

Difficulty

Easy 2Medium 3Hard 0

Where it sits

Chapter: Three Dimensional Geometry. Topic: Skew Lines, 15 questions over 6 ideas.

Other repeat ideas in this topic

Every time it came

All 5 questions

Newest first, each with its options and official answer.

  1. 4 Apr 2026, Shift 2 · Q13The shortest distance between the lines…EasySingle correct
  2. 2 Apr 2025, Shift 2 · Q15The line L1L_1 is parallel to the vector a⃗=−3i^+2j^+4k^\vec{a} = -3\hat{i} + 2\hat{j} + 4\hat{k} and passes through the point (7,6,2)(7, 6, 2) and the line…EasySingle correct
  3. 4 Apr 2025, Shift 2 · Q14Let the values of p, for which the shortest distance between the lines x+13=y4=z5\frac{x+1}{3}=\frac{y}{4}=\frac{z}{5} and…MediumSingle correct
  4. 8 Apr 2024, Shift 1 · Q14If the shortest distance between the lines L1:r⃗=(2+λ)i^+(1−3λ)j^+(3+4λ)k^L_1:\vec{r}=(2+\lambda)\hat{i}+(1-3\lambda)\hat{j}+(3+4\lambda)\hat{k},…MediumSingle correct
  5. 24 Jun 2022, Shift 1 · Q30If the shortest distance between the lines r⃗=(−i^+3k^)+λ(i^−aj^)\vec{r}=(-\hat{i}+3\hat{k})+\lambda(\hat{i}-a\hat{j}) and…MediumNumerical value