Vector Algebra

CBSE Class 12 · Mathematics · 46 past questions

12 of 46 · show all

1. Q34 2023

   If a vector makes an angle of $\frac{\pi}{4}$ with the positive directions of both x-axis and y-axis, then…

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2. Q35 2023

   $\vec{a}$ and $\vec{b}$ are two non-zero vectors such that the projection of $\vec{a}$ on $\vec{b}$ is 0. The…

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3. Q36 2023

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

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4. Q37 2023

   If $\vec{r} = 3\hat{i} - 2\hat{j} + 6\hat{k}$, find the value of…

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5. Q38 2023

   The value of p for which the vectors $2\hat{i} + p\hat{j} + \hat{k}$ and $-4\hat{i} - 6\hat{j} + 26\hat{k}$…

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6. Q39 2023

   The value of $(\hat{i} \times \hat{j}) \cdot \hat{j} + (\hat{j} \times \hat{i}) \cdot \hat{k}$ is…

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7. 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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8. 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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9. Q42 2023

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

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10. 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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11. Q44 2023

    Projection of vector $2\hat{i}+3\hat{j}$ on the vector $3\hat{i}-2\hat{j}$ is

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12. Q45 2023

    If $\vec{a}, \vec{b}, \vec{c}$ are three non-zero unequal vectors such that…

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