Vector Algebra

JEE Main · Mathematics · 10 past questions

These are the board's own papers. 211 more board questions reprinted in the books we use in class are for signed-in students: sign in.

4 of 10 · show all

1. Q1 2026 2 Apr Shift 1

   If $\vec{a}$ and $\vec{b}$ are two vectors such that $|\vec{a}|=2$ and $|\vec{b}|=3$, then the maximum value…

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2. Q3 2026 2 Apr Shift 2

   Two adjacent sides of a parallelogram PQRS are given by $\overrightarrow{PQ} = \hat{j} + \hat{k}$ and…

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3. Q4 2026 4 Apr Shift 1

   Let $\vec{a}_k = (\tan\theta_k)\hat{i}+\hat{j}$ and $\vec{b}_k=\hat{i}-(\cot\theta_k)\hat{j}$, where…

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4. Q7 2026 5 Apr Shift 2

   Let O be the origin, $\overrightarrow{OP} = \vec{a}$ and $\overrightarrow{OQ} = \vec{b}$. If R is the point…

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