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Friday, 9 October

JEE Main Maths · Vector Algebra

Scalar and Vector Projection

Scalar and Vector Projection (Vector Algebra) was asked 2 times in 2 JEE Main shifts, 2022–2025, out of the 42 shifts Lumi analysed.

Times asked
2
in 2 shifts
Years
2022–2025
Usual format
Single correct
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Vector from equal projections on given vectors
  • Unknown vector from cross and dot conditions

Difficulty

Easy 0Medium 2Hard 0

Where it sits

Chapter: Vector Algebra. Topic: Dot Product, 15 questions over 12 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 2 Apr 2025, Shift 1 · Q11If a⃗\vec{a} is a nonzero vector such that its projections on the vectors 2i^−j^+2k^2\hat{i}-\hat{j}+2\hat{k}, i^+2j^−2k^\hat{i}+2\hat{j}-2\hat{k} and…MediumSingle correct
  2. 29 Jun 2022, Shift 1 · Q5Let a⃗=αi^+3j^−k^\vec{a} = \alpha\hat{i} + 3\hat{j} - \hat{k}, b⃗=3i^−βj^+4k^\vec{b} = 3\hat{i} - \beta\hat{j} + 4\hat{k} and…MediumSingle correct