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Saturday, 31 October

JEE Main · Maths · Vector Algebra

STP Definition and Determinant

JEE Main asked STP Definition and Determinant 4 times in 4 of the 108 shifts Lumi analysed, in 2020 and 2021. It belongs to Triple Products, in Vector Algebra (Maths). The longest wait between two years asking it was 1 year. In 2021 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
2020
last in 2021
Pattern
Gone quiet
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2021. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200.10’210’220’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 3 in 24 shifts · 2022: 0 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
  • 20220 of 24
  • 20213 of 24
  • 20201 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.

  • Unknown vector from cross and dot conditions
  • Unknown values from perpendicular and coplanar vectors

Difficulty

Easy 0Medium 4Hard 0

2 of the 4 questions had a numerical answer.

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. 17 Mar 2021, Shift 2 · Q63Let O be the origin. Let OP→=xi^+yj^−k^\overrightarrow{OP}=x\hat{i}+y\hat{j}-\hat{k} and OQ→=−i^+2j^+3xk^\overrightarrow{OQ}=-\hat{i}+2\hat{j}+3x\hat{k},…MediumSingle correct
  2. 17 Mar 2021, Shift 1 · Q90If a⃗=αi^+βj^+3k^\vec{a}=\alpha\hat{i}+\beta\hat{j}+3\hat{k}, b⃗=−βi^−αj^−k^\vec{b}=-\beta\hat{i}-\alpha\hat{j}-\hat{k} and c⃗=i^−2j^−k^\vec{c}=\hat{i}-2\hat{j}-\hat{k}…MediumNumerical value
  3. 16 Mar 2021, Shift 2 · Q84Let c⃗\vec c be a vector perpendicular to the vectors a⃗=i^+j^−k^\vec a=\hat i+\hat j-\hat k and b⃗=i^+2j^+k^\vec b=\hat i+2\hat j+\hat k. If…MediumNumerical value
  4. 4 Sep 2020, Shift 1 · Q67Let x0x_0 be the point of local maxima of f(x)=a⃗⋅(b⃗×c⃗)f(x) = \vec{a} \cdot (\vec{b} \times \vec{c}), where…MediumSingle correct

Shifts: 4 Sep 2020, Shift 1, 16 Mar 2021, Shift 2, 17 Mar 2021, Shift 2, 17 Mar 2021, 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