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← Bihar Board Class 12 PYQ
Vector Algebra
Bihar Board Class 12 · Mathematics · 122 past questions
Topic
Dot product
45
Vector basics and magnitude
28
Cross product
27
Scalar triple product and vector triple product
16
Geometric and mixed applications
4
Vector identities and proofs
1
Level
Easy
12
Moderate
4
Tough
0
Year
2026
2
2025
3
2024
3
2023
0
2021
7
2019
1
2018
1
2017
1
2016
0
2015
0
16 of 122 ·
show all
Q2
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\vec{a} \cdot (\vec{a} \times \vec{a}) =$
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Q12
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2024 Set J
2024 Set D
2021 Set I
$\vec{i}\cdot(\vec{j}\times\vec{k})=$
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Q31
2025
$\hat\jmath \cdot (\hat\imath \times \hat k) =$
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Q34
2025
…
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Q44
2025 Set A
2025 Set E
$(\vec{k} \times \vec{j}) \cdot \vec{i} =$
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Q55
2024 Set D
Evaluate: $(\vec i-3\vec j+4\vec k)\cdot[(2\vec i-\vec j)\times(\vec j+\vec k)]$.
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Q62
2024 Set J
Evaluate : $(\vec i-3\vec j+4\vec k)\cdot\left[(2\vec i-\vec j)\times(\vec j+\vec k)\right]$.
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Q84
2021 Set I
$[\vec{a}\ \vec{a}\ \vec{a}] =$
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Q90
2021 Set J
2021 Set I
$\vec{j}\cdot(\vec{k}\times\vec{i}) =$
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Q91
2021 Set J
2021 Set I
$[\vec{x}\ \vec{y}\ \vec{z}] =$
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Q92
2021 Set J
2021 Set I
$\vec{k}\times(\vec{i}\times\vec{j}) =$
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Q93
2021 Set J
$|\vec a\ \vec a\ \vec a|=$
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Q97
2021 Set J
$\hat{i} \cdot (\hat{j} \times \hat{k}) =$
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Q102
2019 Set F
$(\vec a \times \vec a)\cdot\vec b = ?$
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Q106
2018
…
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Q112
2017
If $\vec{a} = \hat{i} - 2\hat{j} - 3\hat{k}$; $\vec{b} = 2\hat{i} + \hat{j} - \hat{k}$ and…
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