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Friday, 9 October

JEE Main Maths · Vector Algebra

Area of Triangles and Parallelograms

Area of Triangles and Parallelograms (Vector Algebra) was asked 4 times in 4 JEE Main shifts, 2023–2026, out of the 42 shifts Lumi analysed.

Times asked
4
in 4 shifts
Years
2023–2026
Usual format
Single correct
Multi-step
Pattern
Comes in cycles
repeats across shifts

How it is asked

  • Area of triangle from vector combinations
  • Area of face of right-corner tetrahedron

Difficulty

Easy 1Medium 3Hard 0

Where it sits

Chapter: Vector Algebra. Topic: Cross Product, 32 questions over 11 ideas.

Other repeat ideas in this topic

Every time it came

All 4 questions

Newest first, each with its options and official answer.

  1. 6 Apr 2026, Shift 2 · Q15Let a⃗=2i^+3j^+3k^\vec{a}=2\hat{i}+3\hat{j}+3\hat{k} and b⃗=6i^+3j^+3k^\vec{b}=6\hat{i}+3\hat{j}+3\hat{k}. Then the square of the area of the triangle with…EasySingle correct
  2. 2 Apr 2025, Shift 1 · Q5Let ABCD be a tetrahedron such that the edges AB, AC and AD are mutually perpendicular. Let the areas of the triangles ABC, ACD and ADB be…MediumSingle correct
  3. 9 Apr 2024, Shift 1 · Q18Let three vectors a⃗=αi^+4j^+2k^\vec{a}=\alpha\hat{i}+4\hat{j}+2\hat{k}, b⃗=5i^+3j^+4k^\vec{b}=5\hat{i}+3\hat{j}+4\hat{k}, c⃗=xi^+yj^+zk^\vec{c}=x\hat{i}+y\hat{j}+z\hat{k}…MediumSingle correct
  4. 13 Apr 2023, Shift 2 · Q18Let for a triangle ABC, AB→=−2i^+j^+3k^\overrightarrow{AB}=-2\hat{i}+\hat{j}+3\hat{k} CB→=αi^+βj^+γk^\overrightarrow{CB}=\alpha\hat{i}+\beta\hat{j}+\gamma\hat{k}…MediumSingle correct