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This section includes 8 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 l, m, n are the direction cosines of a position vector ( vec{a} ), then which of the following is true? |
A. | l<sup>2</sup>+m<sup>2</sup>-n<sup>2</sup>=0 |
B. | lmn=1 |
C. | l<sup>2</sup>+m<sup>2</sup>+n<sup>2</sup>=1 |
D. | l<sup>2</sup> m<sup>2</sup>+n<sup>2</sup>=1 |
Answer» D. l<sup>2</sup> m<sup>2</sup>+n<sup>2</sup>=1 | |
2. |
Which of the below given is a vector quantity? |
A. | 8 kg |
B. | 4 seconds |
C. | 6 Newton |
D. | 90 cm<sup>3</sup> |
Answer» D. 90 cm<sup>3</sup> | |
3. |
Which of the given qualities is a vector? |
A. | Speed |
B. | Time |
C. | Weight |
D. | Volume |
Answer» B. Time | |
4. |
For a given vector A, | ( vec{A} )| can be less than zero. |
A. | True |
B. | False |
Answer» C. | |
5. |
Which of the following is used to represent the magnitude of vector ( vec{A} )? |
A. | ( hat{A} ) |
B. | | ( vec{A} )| |
C. | ( underset{A}{ leftrightarrow} ) |
D. | ( vec{A} ) |
Answer» C. ( underset{A}{ leftrightarrow} ) | |
6. |
Which of the following id the correct symbol for denoting a given vector A? |
A. | |A| |
B. | [A] |
C. | ( vec{A} ) |
D. | ( underset{A}{ rightharpoonup } ) |
Answer» D. ( underset{A}{ rightharpoonup } ) | |
7. |
A scalar quantity has only magnitude and no direction. |
A. | True |
B. | False |
Answer» B. False | |
8. |
Which of the following holds true for a vector quantity? |
A. | It has only magnitude |
B. | It has only direction |
C. | A vector has both direction and magnitude |
D. | A vector can never be negative |
Answer» D. A vector can never be negative | |