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Saturday, 31 October

JEE Main · Maths · Vector Algebra

Condition for Parallel Vectors

JEE Main asked Condition for Parallel Vectors 2 times in 2 of the 108 shifts Lumi analysed, in 2023 and 2025. It belongs to Cross Product, in Vector Algebra (Maths). The longest wait between two years asking it was 2 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2023
last in 2025
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2023 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200’210’220.07’230’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20251 of 8
  • 20240 of 18
  • 20231 of 12
  • 20220 of 24
  • 20210 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Vector from cross product condition
  • Unknown vector from cross and dot conditions

Difficulty

Easy 0Medium 1Hard 1

1 of the 2 questions had a numerical answer.

Every question

All 2 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 3 Apr 2025, Shift 1 · Q24Let a⃗=i^+j^+k^,b⃗=3i^+2j^−k^,c⃗=λj^+μk^\vec{a} = \hat{i} + \hat{j} + \hat{k}, \vec{b} = 3\hat{i} + 2\hat{j} - \hat{k}, \vec{c} = \lambda\hat{j} + \mu\hat{k} and d^\hat{d}…MediumNumerical value
  2. 12 Apr 2023, Shift 1 · Q17Let λ∈Z\lambda\in\mathbb{Z}, a⃗=λi^+j^−k^\vec{a}=\lambda\hat{i}+\hat{j}-\hat{k} and b⃗=3i^−j^+2k^\vec{b}=3\hat{i}-\hat{j}+2\hat{k}. Let c⃗\vec{c} be a vector…HardSingle correct

Shifts: 12 Apr 2023, Shift 1, 3 Apr 2025, Shift 1.

Same topic

Other ideas in Cross Product

Cross Product has 13 ideas JEE Main has asked; 9 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas