Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

10 of 46 · show all

1. Q1 2026

   The value of p for which vectors $\hat{i} + 2\hat{j} + 3\hat{k}$ and $2\hat{i} - p\hat{j} + \hat{k}$ are…

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2. Q11 2026

   If $(\vec{a} + \vec{b}) \cdot (\vec{a} - \vec{b}) = 198$ and $|\vec{a}| = 10|\vec{b}|$, then…

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3. 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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4. 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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5. Q18 2025

   Let $\vec{p}$ and $\vec{q}$ be two unit vectors and $\alpha$ be the angle between them. Then…

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6. Q22 2024

   Let $\theta$ be the angle between two unit vectors $\hat{a}$ and $\hat{b}$ such that…

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7. Q25 2024

   If $\vec{a} = 2\hat{i} - \hat{j} + \hat{k}$ and $\vec{b} = \hat{i} + \hat{j} - \hat{k}$, then $\vec{a}$ and…

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8. Q33 2024

   The position vectors of vertices of $\Delta$ ABC are $A(2\hat{i} - \hat{j} + \hat{k})$…

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9. Q38 2023

   The value of p for which the vectors $2\hat{i} + p\hat{j} + \hat{k}$ and $-4\hat{i} - 6\hat{j} + 26\hat{k}$…

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10. Q45 2023

    If $\vec{a}, \vec{b}, \vec{c}$ are three non-zero unequal vectors such that…

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