Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

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1. Q48 2025 Set E

   Find the value of $x$, when the following vectors are perpendicular to one another…

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2. Q51 2024 Set D

   The angle between the vectors $2\vec{i} - 3\vec{j} + 2\vec{k}$ and $\vec{i} + 4\vec{j} + 5\vec{k}$ is

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3. Q53 2024 Set D2024 Set J

   The projection of the vector $\vec{i} - 2\vec{j} + \vec{k}$ on the vector $4\vec{i} - 4\vec{j} + 7\vec{k}$ is

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4. Q60 2024 Set J

   The angle between the vectors $2\vec{i}-3\vec{j}+2\vec{k}$ and $\vec{i}+4\vec{j}+5\vec{k}$ is

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5. Q65 2023

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

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6. Q101 2019 Set F

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

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7. Q105 2018

   $x\vec{i} - 3\vec{j} + 5\vec{k},\ -x\vec{i} + x\vec{j} + 2\vec{k}$ are perpendicular to each other then value…

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