MCQOPTIONS
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MCQOPTIONS
This section includes 4 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Find the angle between the two vectors \(\vec{a} \,and \, \vec{b}\) with magnitude 2 and \(\sqrt{3}\) respectively and \(\vec{a.} \, \vec{b}\)=4. |
| A. | \(\frac{π}{3}\) |
| B. | \(\frac{π}{6}\) |
| C. | \(cos^{-1}\frac{\sqrt{2}}{3}\) |
| D. | \(cos^{-1}\frac{2}{\sqrt{3}}\) |
| Answer» C. \(cos^{-1}\frac{\sqrt{2}}{3}\) | |
| 2. |
If two non-zero vectors \(\vec{a} \,and \, \vec{b}\) are perpendicular to each other then their scalar product is zero. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 3. |
Find \(|\vec{a}+\vec{b}|\), if \(|\vec{a}|=3 \,and \,|\vec{b}|=4 \,and \,\vec{a}.\vec{b}=6\). |
| A. | 34 |
| B. | \(\sqrt{37}\) |
| C. | 13 |
| D. | \(\sqrt{23}\) |
| Answer» C. 13 | |
| 4. |
Find the scalar product of the vectors \(\vec{a}=2\hat{i}+5\hat{j}\) and \(\vec{b}=6\hat{i}-7\hat{j}\). |
| A. | -32 |
| B. | -23 |
| C. | 32 |
| D. | 23 |
| Answer» C. 32 | |