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Vector Algebra
JEE Advanced · Mathematics · 44 past questions
Topic
Unit vectors with given relations and optimisation
3
Scalar triple product and coplanarity
2
Geometry of triangles, parallelograms and polygons
1
Matching and statement-based questions
1
Vector triple product and vector equations
1
Dot and cross product basics
0
Lines and planes in vector form
0
Level
Easy
6
Moderate
30
Tough
8
Year
2026
0
2025
1
2024
0
2023
1
2022
1
2021
1
2020
1
2019
0
2018
0
2017
0
2016
1
2015
0
2014
2
2013
0
2012
0
2011
0
2010
0
2009
0
2008
0
2007
0
8 of 44 ·
show all
Q3
2025 Paper 2
Consider the vectors…
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Q6
2023 Paper 1
Let $P$ be the plane $\sqrt3x+2y+3z=16$ and let…
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Q8
2022 Paper 2
Let $\hat{i}$, $\hat{j}$ and $\hat{k}$ be the unit vectors along the three positive coordinate axes. Let…
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Q9
2021 Paper 1
Let $\vec u$, $\vec v$ and $\vec w$ be vectors in three-dimensional space, where $\vec u$ and $\vec v$ are…
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Q11
2020 Paper 1
In a triangle $PQR$, let $\vec a=\overrightarrow{QR}$, $\vec b=\overrightarrow{RP}$ and…
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Q19
2016 Paper 2
Let $\hat{u} = u_1\hat{i} + u_2\hat{j} + u_3\hat{k}$ be a unit vector in $\mathbb{R}^3$ and…
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Q24
2014 Paper 1
Let $\vec{x}$, $\vec{y}$ and $\vec{z}$ be three vectors each of magnitude $\sqrt{2}$ and the angle between…
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Q25
2014 Paper 1
Let $\vec a,\vec b$ and $\vec c$ be three non-coplanar unit vectors such that the angle between every pair of…
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