Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

19 of 122 · show all

1. Q23 2025

   $\hat{i} \cdot \hat{i} - \hat{j} \cdot \hat{j} =$

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2. Q24 2025

   $|-\hat{i} - \hat{j} - \hat{k}| =$

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3. Q25 2025

   $(2\hat{i}+5\hat{j}-\hat{k})\cdot(-\hat{i}+7\hat{j}+2\hat{k}) =$

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4. Q26 2025

   $\hat{i} \times \hat{k} =$

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5. Q28 2025

   If $\vec a = 2\hat\imath - \hat\jmath + 2\hat k$ then unit vector $\vec a$ in the direction of vector…

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6. Q30 2025

   If $(3\hat\imath-2\hat\jmath+\hat k)$ and $(2\hat\imath-3\hat\jmath-\lambda\hat k)$ are perpendicular to each…

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7. Q31 2025

   $\hat\jmath \cdot (\hat\imath \times \hat k) =$

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8. Q32 2025

   The projection of the vector $\hat\imath - \hat\jmath$ on the vector $\hat\imath + \hat\jmath$ is

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9. Q34 2025

   …

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10. Q35 2025

    $(2\hat{\imath} + 3\hat{\jmath} - 5\hat{k}) \cdot (7\hat{\imath} - \hat{\jmath} + 3\hat{k}) =$

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11. Q39 2025 Set A2025 Set E

    $(4\vec{i} + 3\vec{j})^2 =$

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12. Q40 2025 Set A2024 Set D2024 Set J

    $|\vec{i}-\vec{j}-3\vec{k}| =$

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13. Q41 2025 Set A2025 Set E

    $(7\vec{i} - 8\vec{j} + 9\vec{k}) \cdot (\vec{i} - \vec{j} + \vec{k}) =$

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14. Q42 2025 Set A2025 Set E

    …

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15. Q43 2025 Set A2025 Set E

    $(11\vec{i} + \vec{j} + \vec{k}) \cdot (\vec{i} + \vec{j} + 11\vec{k}) =$

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16. Q44 2025 Set A2025 Set E

    $(\vec{k} \times \vec{j}) \cdot \vec{i} =$

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17. Q45 2025 Set A2025 Set E

    $(\vec{i} - 2\vec{j} + 5\vec{k}) \cdot (-2\vec{i} + 4\vec{j} + 2\vec{k}) =$

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18. Q46 2025 Set A2025 Set E

    $(i \times j) + (\vec{i} \times \vec{i}) =$

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19. Q47 2025 Set E

    $|\vec{i} - \vec{j} - 3\vec{k}| =$

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