MCQOPTIONS
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MCQOPTIONS
This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics 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 - ? |
| 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 =5, what is value of ( 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. |
| | times the magnitude of vector ( vec{a} ) is denoted as ______ |
| A. | | ( vec{a} )| |
| B. | | ( vec{a} )| |
| C. | | | ( vec{a} ) |
| D. | ( vec{a} ) |
| Answer» B. | ( 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 ( vec{a} ) and ( vec{a} ) is same if is _______ |
| A. | imaginary |
| B. | negative |
| C. | positive |
| D. | zero |
| Answer» D. zero | |
| 10. |
Multiplication of vector ( vec{a} ) and scalar is denoted as ______ |
| A. | ( vec{a} ) |
| B. | ( vec{a} ) |
| C. | |
| D. | 0 |
| Answer» B. ( vec{a} ) | |