JEE Main Maths · Vector Algebra

Magnitude and Sine Formula

Magnitude and Sine Formula (Vector Algebra) was asked 6 times in 6 JEE Main shifts, 2017–2026, out of the 42 shifts Lumi analysed. 1 of the 6 had a numerical answer.

Times asked: 6; in 6 shifts
Years: 2017–2026
Usual format: Single correct; Multi-step
Pattern: Asked most years; repeats across shifts

How it is asked

Express coefficient via dot products
Vector along intersection of two planes

Difficulty

Easy 0Medium 1Hard 5

Where it sits

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

All 6 questions

Newest first, each with its options and official answer.

4 Apr 2026, Shift 2 · Q15Let $\hat u$ and $\hat v$ be unit vectors inclined at an acute angle such that $|\hat u\times\hat v|=\frac{\sqrt3}{2}$ . If…HardSingle correct
6 Apr 2024, Shift 2 · Q19Let $\vec{a}=6\hat{i}+\hat{j}-\hat{k}$ and $\vec{b}=\hat{i}+\hat{j}$ . If $\vec{c}$ is a vector such that $|\vec{c}|\ge 6$ ,…HardSingle correct
11 Apr 2023, Shift 1 · Q11Let $\vec{a}$ be a non-zero vector parallel to the line of intersection of the two planes described by $\hat{i}+\hat{j},\ \hat{i}+\hat{k}$ …HardSingle correct
25 Jul 2022, Shift 1 · Q15Let $ABC$ be a triangle such that $\overrightarrow{BC}=\vec a$ , $\overrightarrow{CA}=\vec b$ , $\overrightarrow{AB}=\vec c$ ,…HardTwo statements
9 Jan 2020, Shift 2 · Q75Let $\vec{a}$ , $\vec{b}$ and $\vec{c}$ be three vectors such that $|\vec{a}|=\sqrt3$ , $|\vec{b}|=5$ , $\vec{b}\cdot\vec{c}=10$ and the…MediumNumerical value
2 Apr 2017 (offline) · Q84Let $\vec{a}=2\hat{i}+\hat{j}-2\hat{k}$ and $\vec{b}=\hat{i}+\hat{j}$ . Let $\vec{c}$ be a vector such that $|\vec{c}-\vec{a}|=3$ ,…HardSingle correct