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← Bihar Board Class 12 PYQ
Vector Algebra
Bihar Board Class 12 · Mathematics · 122 past questions
Topic
Dot product
4
Vector basics and magnitude
3
Cross product
2
Scalar triple product and vector triple product
2
Geometric and mixed applications
0
Vector identities and proofs
0
Level
Easy
11
Moderate
10
Tough
0
Year
2026
11
2025
19
2024
11
2023
17
2021
15
2019
5
2018
2
2017
6
2016
7
2015
8
11 of 122 ·
show all
Q1
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
2017
$\vec{k}\times\vec{k}=$
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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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Q4
2026 Set A
2026 Set H
2026 Set C
2026 Set F
2026 Set D
2026 Set B
$2\vec{j} \cdot (-3)\vec{k} =$
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Q5
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
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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Q7
2026 Set A
2026 Set C
2026 Set F
2026 Set J
2026 Set B
$|3\vec{i}+4\vec{j}+7\vec{k}| =$
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Q10
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 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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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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Q15
2026 Set D
2026 Set H
$|3\vec{i} + 4\vec{j} + 7\vec{k}| =$
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Q16
2026 Set E
$2\hat{j} \times (-3)\hat{k} =$
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Q17
2026 Set E
$|\,3\vec{i} + 4\vec{j} + 7\vec{k}\,| =$
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Q21
2026 Set J
$2\hat{j}\cdot(-3)\hat{k}=$
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