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Saturday, 31 October

JEE Main · Maths · Vector Algebra

VTP with Repeated Vectors

JEE Main asked VTP with Repeated Vectors 3 times in 3 of the 108 shifts Lumi analysed, in 2021 and 2024. It belongs to Triple Products, in Vector Algebra (Maths). The longest wait between two years asking it was 3 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2021
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170’200.03’210’220’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 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
  • 20242 of 18
  • 20230 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

Single correct is the usual form. Skill tested: application.

  • Nested vector triple product then projection
  • Repeated vector triple product

Difficulty

Easy 1Medium 2Hard 0

Every question was multiple choice.

Every question

All 3 questions

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

  1. 1 Feb 2024, Shift 1 · Q19Let a⃗=−5i^+j^−3k^\vec{a}=-5\hat{i}+\hat{j}-3\hat{k}, b⃗=i^+2j^−4k^\vec{b}=\hat{i}+2\hat{j}-4\hat{k} and…MediumSingle correct
  2. 6 Apr 2024, Shift 2 · Q18Let a⃗=2i^+j^−k^\vec{a}=2\hat{i}+\hat{j}-\hat{k}, b⃗=((a⃗×(i^+j^))×i^)×i^\vec{b}=\left(\left(\vec{a}\times(\hat{i}+\hat{j})\right)\times\hat{i}\right)\times\hat{i}. Then…MediumSingle correct
  3. 26 Feb 2021, Shift 1 · Q61If a⃗\vec{a} and b⃗\vec{b} are perpendicular, then a⃗×(a⃗×(a⃗×(a⃗×b⃗)))\vec{a}\times(\vec{a}\times(\vec{a}\times(\vec{a}\times\vec{b}))) is equal to :EasySingle correct

Shifts: 26 Feb 2021, Shift 1, 1 Feb 2024, Shift 1, 6 Apr 2024, Shift 2.

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