Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

14 of 46 · show all

1. Q2 2026

   The value of m for which the points with position vectors $-\hat{i} - \hat{j} + 2\hat{k}$…

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2. Q4 2026

   Find the vector of magnitude 14 in the direction of $\overrightarrow{QP}$, where P and Q are the points (1…

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3. Q6 2026

   If $|\vec{a}| = 5$ and $-2 \le \lambda \le 1$, then the sum of greatest and the smallest value of…

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4. Q9 2026

   If $\overrightarrow{AB} = \hat{j} + \hat{k}$ and $\overrightarrow{AC} = 3\hat{i} - \hat{j} + 4\hat{k}$…

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5. Q19 2025

   If $\vec{a}$ and $\vec{b}$ are two non-collinear vectors, then find x, such that…

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6. Q20 2025

   If the sides AB and AC of $\triangle ABC$ are represented by vectors $\hat{j} + \hat{k}$ and…

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7. Q23 2024

   The vector with terminal point A (2, – 3, 5) and initial point B (3, – 4, 7) is…

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8. Q26 2024

   If $|\vec{a}| = 2$ and $-3 \le k \le 2$, then $|k\vec{a}| \in$…

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9. Q28 2024

   Find the position vector of point C which divides the line segment joining points A and B having position…

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10. Q36 2023

    In $\Delta$ ABC, $\overrightarrow{AB} = \hat{i} + \hat{j} + 2\hat{k}$ and…

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11. Q40 2023

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

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12. Q41 2023

    Find all the vectors of magnitude $3\sqrt{3}$ which are collinear to vector $\hat{i} + \hat{j} + \hat{k}$.

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13. Q42 2023

    Unit vector along $\overrightarrow{PQ}$, where coordinates of P and Q respectively are (2, 1, $-1$) and (4…

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14. Q43 2023

    Position vector of the mid-point of line segment AB is $3\hat{i}+2\hat{j}-3\hat{k}$. If position vector of…

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