MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the sum of the vectors \(\vec{a}\)=8\(\hat{i}\)+5\(\hat{j}\) and \(\vec{b}\)=-2\(\hat{i}\)+6\(\hat{j}\) |
| A. | 6\(\hat{i}\)+\(\hat{j}\) |
| B. | 6\(\hat{i}\)+11\(\hat{j}\) |
| C. | 6\(\hat{i}\)-11\(\hat{j}\) |
| D. | \(\hat{i}\)+11\(\hat{j}\) |
| Answer» C. 6\(\hat{i}\)-11\(\hat{j}\) | |
| 2. |
If \(\vec{a}\)=9\(\hat{i}\)-2\(\hat{j}\)+7\(\hat{k}\), \(\vec{b}\)=5\(\hat{i}\)+\(\hat{j}\)-3\(\hat{k}\), find \(\vec{a}+\vec{b}\). |
| A. | \(\hat{i}\)–\(\hat{j}\)+4\(\hat{k}\) |
| B. | 14\(\hat{i}\)–\(\hat{j}\)+4\(\hat{k}\) |
| C. | 14\(\hat{i}\)-3\(\hat{j}\)+4\(\hat{k}\) |
| D. | 14\(\hat{i}\)–\(\hat{j}\)+9\(\hat{k}\) |
| Answer» C. 14\(\hat{i}\)-3\(\hat{j}\)+4\(\hat{k}\) | |
| 3. |
Find vector \(\vec{b}\), if \(\vec{a}+\vec{b}\)+\(\vec{c}\)=8\(\hat{i}\)+2\(\hat{j}\) where \(\vec{a}\)=\(\hat{i}\)-6\(\hat{j}\) and \(\vec{c}\)=3\(\hat{i}\)+7\(\hat{j}\). |
| A. | 4\(\hat{i}\)+4\(\hat{j}\) |
| B. | \(\hat{i}\)+4\(\hat{j}\) |
| C. | 4\(\hat{i}\)–\(\hat{j}\) |
| D. | 4\(\hat{i}\)+\(\hat{j}\) |
| Answer» E. | |
| 4. |
Find the magnitude of \(\vec{a}+\vec{b}\), if \(\vec{a}\)=4\(\hat{i}\)+9\(\hat{j}\) and \(\vec{b}\)=6\(\hat{i}\). |
| A. | \(\sqrt{181}\) |
| B. | \(\sqrt{81}\) |
| C. | \(\sqrt{11}\) |
| D. | \(\sqrt{60}\) |
| Answer» B. \(\sqrt{81}\) | |
| 5. |
Find the value of \(\vec{a}+\vec{b}\)+\(\vec{c}\), if \(\vec{a}\)=4\(\hat{i}\)-4\(\hat{j}\), \(\vec{b}\)=-3\(\hat{i}\)+2k, \(\vec{c}\)=7\(\hat{j}\)-8\(\hat{k}\). |
| A. | \(\hat{i}\)-3\(\hat{j}\) |
| B. | \(\hat{i}\)+3\(\hat{j}\)-6\(\hat{k}\) |
| C. | \(\hat{i}\)+\(\hat{j}\)+6\(\hat{k}\) |
| D. | \(\hat{i}\)+6\(\hat{k}\) |
| Answer» C. \(\hat{i}\)+\(\hat{j}\)+6\(\hat{k}\) | |
| 6. |
If \(\vec{a}\)=3\(\hat{i}\)+2\(\hat{j}\)+2\(\hat{k}\), \(\vec{b}\)=2\(\hat{i}\)-8\(\hat{j}\)+\(\hat{k}\), find \(\vec{a}+\vec{b}\). |
| A. | 5\(\hat{i}\)+\(\hat{j}\)+3\(\hat{k}\) |
| B. | 5\(\hat{i}\)-6\(\hat{j}\)+3\(\hat{k}\) |
| C. | 5\(\hat{i}\)-6\(\hat{j}\)-3\(\hat{k}\) |
| D. | 5\(\hat{i}\)+6\(\hat{j}\)+3\(\hat{k}\) |
| Answer» C. 5\(\hat{i}\)-6\(\hat{j}\)-3\(\hat{k}\) | |
| 7. |
Find the unit vector in the direction of the sum of the vectors, \(\vec{a}\)=2\(\hat{i}\)+7\(\hat{j}\) and \(\vec{b}\)=\(\hat{i}\)-9\(\hat{j}\). |
| A. | \(\frac{3}{\sqrt{11}} \hat{i}-\frac{2}{\sqrt{11}} \hat{j}\) |
| B. | \(\frac{2}{\sqrt{13}} \hat{i}-\frac{3}{\sqrt{13}} \hat{j}\) |
| C. | –\(\frac{3}{\sqrt{11}} \hat{i}+\frac{2}{\sqrt{13}} \hat{j}\) |
| D. | \(\frac{3}{\sqrt{13}} \hat{i}-\frac{2}{\sqrt{13}} \hat{j}\) |
| Answer» E. | |
| 8. |
Find vector \(\vec{c}\), if \(\vec{a}\)–\(\vec{b}\)+\(\vec{c}\)=6\(\hat{i}\)+8\(\hat{j}\) where \(\vec{a}\)=7\(\hat{i}\)+2\(\hat{j}\) and \(\vec{b}\)=4\(\hat{i}\)-5\(\hat{j}\). |
| A. | -3\(\hat{i}\)+\(\hat{j}\) |
| B. | 3\(\hat{i}\)+\(\hat{j}\) |
| C. | 3\(\hat{i}\)–\(\hat{j}\) |
| D. | -3\(\hat{i}\)–\(\hat{j}\) |
| Answer» C. 3\(\hat{i}\)–\(\hat{j}\) | |
| 9. |
Find the sum of the vectors \(\vec{a}\)=6\(\hat{i}\)-3\(\hat{j}\) and \(\vec{b}\)=5\(\hat{i}\)+4\(\hat{j}\). |
| A. | 11\(\hat{i}\)+\(\hat{j}\) |
| B. | 11\(\hat{i}\)–\(\hat{j}\) |
| C. | -11\(\hat{i}\)+\(\hat{j}\) |
| D. | \(\hat{i}\)+\(\hat{j}\) |
| Answer» B. 11\(\hat{i}\)–\(\hat{j}\) | |
| 10. |
If \(\vec{a}\)=\(\hat{i}\)+4\(\hat{j}\) and \(\vec{b}\)=3\(\hat{i}\)-3\(\hat{j}\). Find the magnitude of \(\vec{a}+\vec{b}\). |
| A. | \(\sqrt{6}\) |
| B. | \(\sqrt{11}\) |
| C. | \(\sqrt{5}\) |
| D. | \(\sqrt{17}\) |
| Answer» E. | |