Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

21 of 122 · show all

1. Q63 20232023 Set E2017

   $\vec{j} \times \vec{k} =$

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2. Q64 2023

   $|3\vec{i}-4\vec{j}-5\vec{k}|$

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3. Q65 2023

   $(\vec{j} - 2\vec{i}) \cdot (\vec{k} + 3\vec{i} - \vec{j}) =$

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4. Q66 2023

   $(2\vec{i} - 3\vec{j}).(\vec{i} + \vec{k}) =$

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5. Q67 2023

   $\vec{i}.\vec{i} =$

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6. Q68 20232023 Set E

   $3\vec{k} \cdot (13\vec{i} - 7\vec{k}) =$

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7. Q69 2023

   $\left(3\vec{i} - 4\vec{k}\right)^2 =$

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8. Q70 20232023 Set E

   The unit vector in the direction of vector $3\vec{i} - 9\vec{j}$ is

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9. Q71 20232023 Set E

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

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10. Q72 20232023 Set E

    $(11\vec{i} - 7\vec{j} - \vec{k}) \cdot (8\vec{i} - \vec{j} - 5\vec{k}) =$

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11. Q73 2023

    $(3\vec{k}-7\vec{i})\times 2\vec{k}=$

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12. Q74 20232023 Set E

    $|\vec{i}-2\vec{j}+2\vec{k}|=$

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13. Q75 20232023 Set E

    $(10\vec{i}+\vec{j}+\vec{k}) \times (-4\vec{i}+7\vec{j}-11\vec{k}) =$

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14. Q76 2023

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

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15. Q77 2023 Set E

    $(\vec{j}-2\vec{i})\cdot(\vec{k}+3\vec{i}-\vec{j}) =$

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16. Q78 2023 Set E

    $(2\vec{i}-3\vec{j})\cdot(\vec{i}+\vec{k})=$

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17. Q79 2023 Set E

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

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18. Q80 2023 Set E

    $(3\vec k-7\vec i)\times2\vec k=$

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19. Q81 2023 Set E

    $(3\vec{i} - 4\vec{k})^2 =$

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20. Q82 2023 Set E

    $|3\vec{i} - 4\vec{j} - 5\vec{k}| =$

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21. Q83 2023 Set E2015

    $\vec{i}\cdot\vec{j}=$

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