Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

8 of 46 · show all

1. 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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2. Q23 2024

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

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3. Q26 2024

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

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4. Q36 2023

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

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5. 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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6. 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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7. Q42 2023

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

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8. 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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