Vector Algebra

JEE Advanced · Mathematics · 44 past questions

11 of 44 · show all

1. Q1 2026 Paper 2

   Let $\vec{a}, \vec{b}$ be two vectors, and let $P, Q$ and $R$ be the points with position vectors $\vec{a}$…

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2. Q2 2025 Paper 1

   For any two points $M$ and $N$ in the $XY$-plane, let $\overrightarrow{MN}$ denote the vector from $M$ to…

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3. Q11 2020 Paper 1

   In a triangle $PQR$, let $\vec a=\overrightarrow{QR}$, $\vec b=\overrightarrow{RP}$ and…

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4. Q12 2020 Paper 2

   Let $a$ and $b$ be positive real numbers. Suppose $\overrightarrow{PQ} = a\hat{i} + b\hat{j}$ and…

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5. Q16 2018 Paper 2

   Consider the cube in the first octant with sides $OP$, $OQ$ and $OR$ of length 1, along the $x$-axis…

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6. Q17 2017 Paper 2

   Let $O$ be the origin and let $PQR$ be an arbitrary triangle. The point $S$ is such that…

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7. Q18 2017 Paper 2

   Let $O$ be the origin, and $\overrightarrow{OX}, \overrightarrow{OY}, \overrightarrow{OZ}$ be three unit…

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8. Q20 2015 Paper 1

   Let $\Delta PQR$ be a triangle. Let $\vec a=\overrightarrow{QR}$, $\vec b=\overrightarrow{RP}$ and…

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9. Q26 2013 Paper 1

   Let $\overrightarrow{PR}=3\hat i+\hat j-2\hat k$ and $\overrightarrow{SQ}=\hat i-3\hat j-4\hat k$ determine…

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10. Q35 2010 Paper 1

    Let P, Q, R and S be the points on the plane with position vectors $-2\hat{i}-\hat{j}$, $4\hat{i}$…

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11. Q37 2010 Paper 2

    Two adjacent sides of a parallelogram $ABCD$ are given by…

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