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Saturday, 31 October

JEE Main · Maths · Vector Algebra

Determinant Calculation Method

JEE Main asked Determinant Calculation Method 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2023. 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
2021
last in 2023
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2023. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20240 of 18
  • 20231 of 12
  • 20220 of 24
  • 20211 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: calculation.

  • Unknown components from cross product
  • Projection on vector perpendicular to two vectors

Difficulty

Easy 0Medium 2Hard 0

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. 10 Apr 2023, Shift 1 · Q16Let O be the origin and the position vector of the point P be −i^−2j^+3k^-\hat{i}-2\hat{j}+3\hat{k}. If the position vectors of the points A, B and…MediumSingle correct
  2. 3 Aug 2021, Shift 2 · Q90Let a⃗=2i^+αj^+k^\vec{a} = 2\hat{i} + \alpha\hat{j} + \hat{k} and b⃗=βi^−5j^+γk^\vec{b} = \beta\hat{i} - 5\hat{j} + \gamma\hat{k}, where α\alpha, β\beta and…MediumNumerical value

Shifts: 3 Aug 2021, Shift 2, 10 Apr 2023, 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