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