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. |
If k is any scalar and \(\vec{a}\), \(\vec{b}\) be vectors then k \(\vec{a}\) + m\(\vec{a}\) can also be written as ________ |
| A. | (k+m)\(\vec{a}\) |
| B. | \(\vec{a}\) + m\(\vec{a}\) |
| C. | k \(\vec{a}\) + \(\vec{a}\) |
| D. | mk\(\vec{a}\) |
| Answer» B. \(\vec{a}\) + m\(\vec{a}\) | |
| 2. |
What is direction of vector \(\vec{a}\) if it is multiplied with -λ? |
| A. | Downwards |
| B. | Upwards |
| C. | Same |
| D. | Opposite |
| Answer» E. | |
| 3. |
\(\vec{a}\)=\(\hat{i}\) + 2\(\hat{j}\) and \(\vec{b}\)=2\(\hat{i}\) + \(\hat{j}\) , Is |\(\vec{a}\)| = |\(\vec{b}\)|? |
| A. | Yes |
| B. | No |
| Answer» B. No | |
| 4. |
Find values of x, y, z if vectors \(\vec{a}\)=x\(\hat{i}\) + 2\(\hat{j}\) + z\(\hat{k}\) and \(\vec{b}\)=2\(\hat{i}\) + y\(\hat{j}\) + \(\hat{k}\) are equal. |
| A. | x=2, y=2, z=1 |
| B. | x=1, y=2, z=1 |
| C. | x=2, y=1, z=1 |
| D. | x=2, y=2, z=2 |
| Answer» B. x=1, y=2, z=1 | |
| 5. |
If k is any scalar and \(\vec{a}\), \(\vec{b}\) be vectors then k (\(\vec{a}\)+ \(\vec{b}\))= ________ |
| A. | k\(\vec{a}\) + k\(\vec{b}\) |
| B. | k\(\vec{a}\) + \(\vec{b}\) |
| C. | \(\vec{a}\) + k\(\vec{b}\) |
| D. | \(\vec{a}\) + \(\vec{b}\) |
| Answer» B. k\(\vec{a}\) + \(\vec{b}\) | |
| 6. |
If \(\vec{a}\) =\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\) and λ=5, what is value of λ\(\vec{a}\)? |
| A. | \(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\) |
| B. | 5\(\hat{i}\) + 5\(\hat{j}\) + 5\(\hat{k}\) |
| C. | \(\hat{i}\) + 5\(\hat{j}\) + 5\(\hat{k}\) |
| D. | 10\(\hat{i}\) + 10\(\hat{j}\) + 10\(\hat{k}\) |
| Answer» C. \(\hat{i}\) + 5\(\hat{j}\) + 5\(\hat{k}\) | |
| 7. |
|λ| times the magnitude of vector \(\vec{a}\) is denoted as ______ |
| A. | |λ\(\vec{a}\)| |
| B. | λ|\(\vec{a}\)| |
| C. | |λ|\(\vec{a}\) |
| D. | λ\(\vec{a}\) |
| Answer» B. λ|\(\vec{a}\)| | |
| 8. |
Find magnitude \(\vec{a}\) =\(\hat{i}\) + \(\hat{j}\) + \(\hat{k}\). |
| A. | \(\sqrt{3}\) |
| B. | \(\sqrt{2}\) |
| C. | 0 |
| D. | \(\sqrt{4}\) |
| Answer» B. \(\sqrt{2}\) | |
| 9. |
Direction of λ\(\vec{a}\) and \(\vec{a}\) is same if λ is _______ |
| A. | imaginary |
| B. | negative |
| C. | positive |
| D. | zero |
| Answer» D. zero | |
| 10. |
Multiplication of vector \(\vec{a}\) and scalar λ is denoted as ______ |
| A. | λ\(\vec{a}\) |
| B. | \(\vec{a}\) |
| C. | λ |
| D. | 0 |
| Answer» B. \(\vec{a}\) | |