Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

8 of 46 · show all

1. Q14 2025

   If $\vec{a} + \vec{b} + \vec{c} = \vec{0}$, $|\vec{a}| = \sqrt{37}$, $|\vec{b}| = 3$ and $|\vec{c}| = 4$…

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2. Q15 2025

   The diagonals of a parallelogram are given by $\vec a = 2\hat i - \hat j + \hat k$ and…

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3. Q16 2025

   The projection vector of vector $\vec{a}$ on vector $\vec{b}$ is

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4. Q17 2025

   The equation of a line parallel to the vector $3\hat{i} + \hat{j} + 2\hat{k}$ and passing through the point…

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5. Q18 2025

   Let $\vec{p}$ and $\vec{q}$ be two unit vectors and $\alpha$ be the angle between them. Then…

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6. Q19 2025

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

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7. Q20 2025

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

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8. Q21 2025

   Show that the area of a parallelogram whose diagonals are represented by $\vec{a}$ and $\vec{b}$ is given by…

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