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Saturday, 31 October

JEE Main · Maths · Vector Algebra

VTP BAC-CAB Expansion

JEE Main asked VTP BAC-CAB Expansion 4 times in 4 of the 108 shifts Lumi analysed, in 2021 and 2022. It belongs to Triple Products, in Vector Algebra (Maths). The longest wait between two years asking it was 1 year. In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
2 of 8
First asked
2021
last in 2022
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2022. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.03’210.11’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 3 in 24 shifts · 2023: 0 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
  • 20230 of 12
  • 20223 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

Single correct is the usual form. Skill tested: multi-step.

  • Unknown scalar from vector triple product equation
  • Magnitude from vector triple product

Difficulty

Easy 0Medium 3Hard 1

Every question was multiple choice.

Every question

All 4 questions

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

  1. 26 Jun 2022, Shift 1 · Q16If a⃗⋅b⃗=1\vec{a} \cdot \vec{b} = 1, b⃗⋅c⃗=2\vec{b} \cdot \vec{c} = 2 and c⃗⋅a⃗=3\vec{c} \cdot \vec{a} = 3, then the value of…MediumSingle correct
  2. 29 Jul 2022, Shift 1 · Q10Let a⃗=3i^+j^\vec{a} = 3\hat{i} + \hat{j} and b⃗=i^+2j^+k^\vec{b} = \hat{i} + 2\hat{j} + \hat{k}. Let c⃗\vec{c} be a vector satisfying…MediumSingle correct
  3. 27 Jul 2022, Shift 1 · Q13Let a⃗=2i^−j^+5k^\vec{a} = 2\hat{i} - \hat{j} + 5\hat{k} and b⃗=αi^+βj^+2k^\vec{b} = \alpha\hat{i} + \beta\hat{j} + 2\hat{k}. If…MediumSingle correct
  4. 31 Aug 2021, Shift 2 · Q75Let a⃗,b⃗,c⃗\vec{a}, \vec{b}, \vec{c} be three vectors mutually perpendicular to each other and have same magnitude. If a vector r⃗\vec{r}…HardSingle correct

Shifts: 31 Aug 2021, Shift 2, 26 Jun 2022, Shift 1, 27 Jul 2022, Shift 1, 29 Jul 2022, Shift 1.

Same topic

Other ideas in Triple Products

Triple Products has 10 ideas JEE Main has asked; 6 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas