Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

12 of 46 · show all

1. Q22 2024

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

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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. Q24 2024

   In the given figure, ABCD is a parallelogram. If $\overrightarrow{AB} = 2\hat{i} - 4\hat{j} + 5\hat{k}$ and… (with a figure)

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4. 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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5. Q26 2024

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

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6. Q27 2024

   Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…

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7. 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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8. Q29 2024

   Let $\vec{a}$ and $\vec{b}$ be two non-zero vectors.…

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9. Q30 2024

   For any two vectors $\vec a$ and $\vec b$, which of the following statements is always true ?

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10. Q31 2024

    The unit vector perpendicular to both vectors $\hat{i} + \hat{k}$ and $\hat{i} - \hat{k}$ is…

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11. Q32 2024

    Questions number 19 and 20 are Assertion and Reason based questions. Two statements are given, one labelled…

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12. Q33 2024

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

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