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Vector Algebra

JEE Advanced · Mathematics · 44 past questions

8 of 44 · show all

  1. Q3 2025 Paper 2
    Consider the vectors…
  2. Q6 2023 Paper 1
    Let $P$ be the plane $\sqrt3x+2y+3z=16$ and let…
  3. Q8 2022 Paper 2
    Let $\hat{i}$, $\hat{j}$ and $\hat{k}$ be the unit vectors along the three positive coordinate axes. Let…
  4. 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…
  5. Q11 2020 Paper 1
    In a triangle $PQR$, let $\vec a=\overrightarrow{QR}$, $\vec b=\overrightarrow{RP}$ and…
  6. 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…
  7. Q24 2014 Paper 1
    Let $\vec{x}$, $\vec{y}$ and $\vec{z}$ be three vectors each of magnitude $\sqrt{2}$ and the angle between…
  8. 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…