Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

9 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. Q3 2026

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

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3. 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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4. Q7 2026

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

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5. Q8 2026

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

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6. Q9 2026

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

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7. Q10 2026

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

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8. Q11 2026

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

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9. 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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