Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

11 of 122 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D2021 Set I2017

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

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2. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D

   If $3\vec{i} + \vec{j} - 2\vec{k}$ and $\vec{i} + \lambda\vec{j} - 3\vec{k}$ are perpendicular to each other…

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3. Q12 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D2021 Set I

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

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4. Q40 2025 Set A2024 Set D2024 Set J

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

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5. Q49 2024 Set D2024 Set J2018

   If $\vec{a} = \vec{i} + \vec{j} + 2\vec{k}$, then the corresponding unit vector $\hat{a}$ in the direction of…

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6. Q52 2024 Set D2024 Set J

   $|\vec{a} + \vec{b}| = |\vec{a} - \vec{b}| \Rightarrow$

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7. Q54 2024 Set D

   If $\vec{a} = \hat{i} - \hat{j} + \hat{k}$ and $\vec{b} = 2\hat{i} + \hat{j} + 3\hat{k}$ then find the value…

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8. Q56 2024 Set D2024 Set J20162015

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

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9. Q57 2024 Set D2024 Set J

   $(4\vec{i}+3\vec{j}+3\vec{k})\cdot(6\vec{i}-4\vec{j}+\vec{k})=$

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10. Q59 2024 Set J2018

    The direction cosines of the vector $3\vec{i} - 4\vec{j} + 12\vec{k}$ is

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11. Q61 2024 Set J

    If $\vec{a} = \vec{i} - \vec{j} + \vec{k}$ and $\vec{b} = 2\vec{i} + \vec{j} + 3\vec{k}$ then find the value…

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