JEE Main · Maths · Vector Algebra

Linear Combination Concept

JEE Main asked Linear Combination Concept once in the 108 shifts Lumi analysed, on 29 Jan 2024, Shift 1. It belongs to Linear Independence, in Vector Algebra (Maths).

Updated 2026-10-24

Times asked: 1; in 1 shift
Years: 1 of 8
First asked: 2024; the only year
Pattern: New since 2024; asked once so far

Questions on this idea a shift, by year

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

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
20241 of 18
20230 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

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

Coefficients from collinearity of vector combinations

Difficulty

Easy 0Medium 1Hard 0

The question was multiple choice.

Every question

The question

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

29 Jan 2024, Shift 1 · Q17Let $\vec{a},\vec{b}$ and $\vec{c}$ be three non-zero vectors such that $\vec{b}$ and $\vec{c}$ are non-collinear. If $\vec{a}+5\vec{b}$ …MediumSingle correct

Shift: 29 Jan 2024, Shift 1.

Same topic

Other ideas in Linear Independence

Linear Independence has 5 ideas JEE Main has asked; 1 of them came up in more than one question.

Collinearity of Three Position Vectors2× · 2023
Unique Linear Combinationsonce · 2023
Independence of Three Vectorsonce · 2022
Proportionality Test for Collinearityonce · 2021

Topic analysis Chapter analysis Study this chapter All repeated ideas