← Bihar Board Class 12 PYQ

Vector Algebra

Bihar Board Class 12 · Mathematics · 122 past questions

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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 $|\vec{a}\times\vec{b}| =$
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…
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…
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…
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…
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…
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 $|\vec{a}\times\vec{b}|=$
Q27 2025

$(\hat{j}+2\hat{k}) \times (\hat{i}+2\hat{j}) =$
Q29 2025

If $\vec a = 2\hat\imath+3\hat\jmath+4\hat k,\vec b = -\hat\jmath-2\hat k$ then $|\vec a \times \vec b| =$
Q33 2025

If $|\vec{a}| = 3, |\vec{b}| = \frac{\sqrt{2}}{3}$ and $\vec{a} \times \vec{b}$ is a unit vector then angle…
Q37 2025

Find vector $\vec{v}$ which is perpendicular to $(2\hat{\imath}-\hat{\jmath}+2\hat{k})$ and…
Q50 2024 Set D2024 Set J

$(\vec{i}+3\vec{j}-2\vec{k})\times(-\vec{i}+3\vec{k})=$
Q58 2024 Set D2024 Set J

$\vec{a}\times(\vec{b}+\vec{c})+\vec{b}\times(\vec{c}+\vec{a})+\vec{c}\times(\vec{a}+\vec{b}) =$
Q73 2023

$(3\vec{k}-7\vec{i})\times 2\vec{k}=$
Q75 20232023 Set E

$(10\vec{i}+\vec{j}+\vec{k}) \times (-4\vec{i}+7\vec{j}-11\vec{k}) =$
Q80 2023 Set E

$(3\vec k-7\vec i)\times2\vec k=$
Q103 2019 Set F20162015

If $\vec{a}=2\hat{i}-3\hat{j}-5\hat{k}$ and $\vec{b}=-7\hat{i}+6\hat{j}+8\hat{k}$, find $\vec{a}\times\vec{b}$