Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

21 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. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\vec{a} \cdot (\vec{a} \times \vec{a}) =$

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3. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set B

   If $\vec{a}=\vec{i}-\vec{j}+2\vec{k}$ and $\vec{b}=2\vec{i}+3\vec{j}-4\vec{k}$ then $|\vec{a}\times\vec{b}| =$

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4. Q4 2026 Set A2026 Set H2026 Set C2026 Set F2026 Set D2026 Set B

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

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5. 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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6. Q6 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set J2026 Set B

   $|\vec{a}|=2,\ |\vec{b}|=3,\ \vec{a}\cdot\vec{b}=4 \Rightarrow |\vec{a}-\vec{b}|=$

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7. Q7 2026 Set A2026 Set C2026 Set F2026 Set J2026 Set B

   $|3\vec{i}+4\vec{j}+7\vec{k}| =$

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8. Q8 2026 Set A2026 Set E2026 Set C2026 Set D2026 Set J2026 Set B

   Find the area of the parallelogram whose adjacent sides are vectors $\vec{i} + 2\vec{j} + 3\vec{k}$ and…

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9. Q9 2026 Set A2026 Set E2026 Set C2026 Set D2026 Set J2026 Set B

   Find the sine of the angle between the two vectors $3\vec{i} + \vec{j} + 2\vec{k}$ and…

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10. Q10 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    The projection of the vector $\vec{i}+3\vec{j}+7\vec{k}$ on the vector $2\vec{i}-3\vec{j}+6\vec{k}$ is

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11. Q11 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    If $|\vec{a}+\vec{b}| = |\vec{a}-\vec{b}|$ then

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12. 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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13. Q13 2026 Set D

    $|\vec{a}| = 2, |\vec{b}| = 3, \vec{a}\cdot\vec{b} = 4 \Rightarrow |\vec{a}-\vec{b}| =$

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14. Q14 2026 Set D

    If $\vec{a} = \vec{i} - \vec{j} + 2\vec{k}$ and $\vec{b} = 2\vec{i} + 3\vec{j} - 4\vec{k}$ then…

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15. Q15 2026 Set D2026 Set H

    $|3\vec{i} + 4\vec{j} + 7\vec{k}| =$

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16. Q16 2026 Set E

    $2\hat{j} \times (-3)\hat{k} =$

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17. Q17 2026 Set E

    $|\,3\vec{i} + 4\vec{j} + 7\vec{k}\,| =$

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18. Q18 2026 Set F2026 Set H

    Find the area of the parallelogram whose adjacent sides are vectors $\hat{i}+2\hat{j}+3\hat{k}$ and…

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19. Q19 2026 Set F2026 Set H2019 Set F

    Find the sine of the angle between the two vectors $3\hat{i}+\hat{j}+2\hat{k}$ and…

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20. Q20 2026 Set J

    If $\vec{a}=\hat{i}-\hat{j}+2\hat{k}$ and $\vec{b}=2\hat{i}+3\hat{j}-4\hat{k}$ then $|\vec{a}\times\vec{b}|=$

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21. Q21 2026 Set J

    $2\hat{j}\cdot(-3)\hat{k}=$

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