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← CBSE Class 12 PYQ
Vector Algebra
CBSE Class 12 · Mathematics · 46 past questions
Topic
Basic vectors and position vectors
6
Dot product and angle between vectors
5
Assertion-reason and conceptual statements
4
Areas of parallelograms and triangles
3
Cross product and vector product properties
2
Direction cosines and angles with axes
2
Line parallel to a vector
0
Projection of vectors
0
Level
Easy
5
Moderate
5
Year
2026
2
2025
2
2024
1
2023
0
2022
0
5 of 46 ·
show all
Q11
2026
If $(\vec{a} + \vec{b}) \cdot (\vec{a} - \vec{b}) = 198$ and $|\vec{a}| = 10|\vec{b}|$, then…
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Q13
2026
If for two unit vectors $\vec{a}$ and $\vec{b}$, $|\vec{a} + 2\vec{b}| = |2\vec{a} - \vec{b}|$, then find the…
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Q14
2025
If $\vec{a} + \vec{b} + \vec{c} = \vec{0}$, $|\vec{a}| = \sqrt{37}$, $|\vec{b}| = 3$ and $|\vec{c}| = 4$…
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Q18
2025
Let $\vec{p}$ and $\vec{q}$ be two unit vectors and $\alpha$ be the angle between them. Then…
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Q33
2024
The position vectors of vertices of $\Delta$ ABC are $A(2\hat{i} - \hat{j} + \hat{k})$…
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