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.

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1. Q2 2026 2 Apr Shift 2

   Let the vectors $\vec{a} = -\hat{i} + \hat{j} + 3\hat{k}$ and $\vec{b} = \hat{i} + 3\hat{j} + \hat{k}$. For…

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2. Q6 2026 5 Apr Shift 1

   Let $\vec a = \sqrt7\hat i + \hat j - \hat k$ and $\vec b = \hat j + 2\hat k$. If $\vec r$ is a vector such…

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3. Q8 2026 6 Apr Shift 1

   If $\vec a=\hat i+\hat j+\hat k$, $\vec b=\hat j-\hat k$ and $\vec c$ be three vectors such that…

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4. Q10 2026 8 Apr Shift 2

   Let a = 4i-j+3k, b=10i+2j-k and a vector c be such that 2(a×b)+3(b×c)=0. If a·c = 15, then c·(i+j-3k) is…

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