Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

10 of 122 · show all

1. 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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2. 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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3. 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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4. 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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5. 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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6. 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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7. 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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8. 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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9. 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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10. 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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