JEE Main Maths · Vector Algebra

Triple Products in JEE Main

Name: Triple Products: JEE Main previous year questions
Creator: Lumi

Triple Products (Maths, Vector Algebra) came 6 times in 6 of the 42 JEE Main shifts Lumi analysed, across 6 distinct ideas. 1 of them came in 2024–26; it was last asked in 2024.

Questions: 6; in 6 shifts
Ideas asked: 6; 0 asked more than once
Numerical answer: 1; 17% of its questions
Pattern: Comes in cycles; last asked 2024

Questions each year

In the shifts Lumi analysed for each year.

Difficulty and format

Easy 0Medium 5Hard 1

Format

Single correct5 Q
Numerical value1 Q

Ideas inside the topic

6 ideas

Coplanarity of Four Points1 Q
STP Definition and Determinant1 Q
Parametric Coplanarity via STP1 Q
Solving for Unknown in Coplanarity1 Q
STP Geometric Interpretation1 Q
VTP with Repeated Vectors1 Q

Where it sits

Part of Vector Algebra, which had 55 questions in all. Triple Products accounts for 11% of them. In Lumi's JEE taxonomy it belongs to Vectors and 3D Geometry.

Every question

All 6 Triple Products questions

Newest first, each with its options and official answer.

6 Apr 2024, Shift 2 · Q18Let $\vec{a}=2\hat{i}+\hat{j}-\hat{k}$ , $\vec{b}=\left(\left(\vec{a}\times(\hat{i}+\hat{j})\right)\times\hat{i}\right)\times\hat{i}$ . Then…MediumSingle correct
6 Apr 2023, Shift 1 · Q15Let the position vectors of the points A, B, C and D be $5\hat i+5\hat j+2\lambda\hat k$ , $\hat i+2\hat j+3\hat k$ ,…MediumSingle correct
8 Apr 2023, Shift 2 · Q16Let the vectors $\vec{u}_1 = \hat{i} + \hat{j} + a\hat{k}$ , $\vec{u}_2 = \hat{i} + b\hat{j} + \hat{k}$ and…HardSingle correct
25 Jul 2021, Shift 1 · Q71Let the vectors $(2+a+b)\hat{i}+(a+2b+c)\hat{j}-(b+c)\hat{k}$ , $(1+b)\hat{i}+2b\hat{j}-b\hat{k}$ and…MediumSingle correct
16 Mar 2021, Shift 2 · Q84Let $\vec c$ be a vector perpendicular to the vectors $\vec a=\hat i+\hat j-\hat k$ and $\vec b=\hat i+2\hat j+\hat k$ . If…MediumNumerical value
8 Jan 2020, Shift 1 · Q66Let the volume of a parallelopiped whose coterminous edges are given by $\vec{u}=\hat{i}+\hat{j}+\lambda\hat{k}$ ,…MediumSingle correct