Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

13 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. Q2 2026

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

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3. Q3 2026

   If $|\vec{a}| = 8$, $|\vec{b}| = 3$ and $|\vec{a} \times \vec{b}| = 12$, then the value of…

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4. 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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5. Q5 2026

   Vectors $\vec{a} = 3\hat{i} - 2\hat{j} + 2\hat{k}$ and $\vec{b} = \hat{i} + 2\hat{k}$ represent the two…

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6. 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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7. Q7 2026

   Vector of magnitude 3 making equal angles with $x$ and $y$ axes and perpendicular to $z$ axis is

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8. Q8 2026

   Direction : Question numbers 19 and 20 are Assertion (A) and Reason (R) based questions carrying 1 mark each.…

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9. Q9 2026

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

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10. Q10 2026

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

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11. Q11 2026

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

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12. Q12 2026

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

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13. 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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