Vectors and scalars - One Line Questions

1. If a vector is represented as a position vector from the origin to a point P(x, y, z), its components are: (x, y, z)
2. The magnitude of a vector v = (vx, vy, vz) is given by: |v| = √(vx² + vy² + vz²)
3. The magnitude of a vector A = -2î + 3ĵ is: √13
4. The magnitude of the null vector is: 0
5. If vector A = 3î + 4ĵ, its magnitude is: 5
6. A vector quantity always has: A direction
7. Which of the following represents a position vector? A vector from the origin to a point (x, y, z)
8. The magnitude of a vector is always: A positive number or zero
9. A vector can be represented geometrically as: A line segment with direction
10. A vector having both magnitude and direction is: A vector
11. A vector having only magnitude and no direction is: A scalar
12. The direction cosines of a vector v = aî + bĵ + ck̂ are: a/|v|, b/|v|, c/|v|
13. The vector representing the displacement from point A to point B is denoted as: AB
14. For any vector v, the magnitude |v| is: Always positive
15. Which of the following is a scalar quantity? Electric current
16. Which of the following is a scalar quantity? Speed
17. The scalar product of two vectors is also known as the: Dot product
18. Which of the following is a vector quantity? Velocity
19. A vector that represents the position of a point with respect to a fixed origin is called a: Position vector
20. A vector that points from the origin to a point P is called a: Position vector
21. The vector product of two vectors is also known as the: Cross product
22. Which of the following is a scalar quantity? Electric potential
23. Which of the following is a vector quantity? Magnetic field
24. Which of the following is NOT a unit vector? 2î
25. What defines a scalar quantity? It has only magnitude.
26. What defines a vector quantity? It has both magnitude and direction.
27. The direction of a vector can be represented by: A unit vector in the same direction
28. Which of the following units represents a vector quantity? Meters per second (m/s)
29. The direction of a vector can be specified using: Magnitude and two angles (e.g., direction cosines)
30. Which of the following is a vector quantity? Displacement
31. Which of the following units represents a scalar quantity? Kilograms (kg)
32. If two vectors have the same magnitude and are in the same direction, they are: Equal vectors
33. The quantity 'Energy' is a: Scalar
34. The quantity 'Force' is a: Vector
35. Which of the following is a vector quantity? Acceleration
36. Which of the following is a vector quantity representing the rate of change of velocity? Acceleration
37. Two vectors are equal if they have: The same magnitude and the same direction
38. Which physical quantity is represented by a vector? Momentum
39. Which of the following is a scalar quantity? Work
40. If a vector has magnitude 5 and direction given by the unit vector û, the vector is: 5û
41. If a vector has zero magnitude, it is called a: Null vector
42. A vector whose direction is opposite to a given vector is called a: Negative vector
43. If a vector's components are (0, 0, 0), it is a: Null vector
44. Which of the following quantities is a scalar quantity? Mass
45. Which physical quantity is represented by a scalar? Pressure
46. Which of the following is a scalar quantity? Speed
47. A vector representing the change in position is called: Displacement vector
48. The scalar quantity that represents the 'amount of matter' in an object is: Mass
49. Which of the following is a vector quantity? Impulse
50. The direction of a vector given by v = aî + bĵ is along the line: y = (b/a)x