Vectors Test

Result

Vectors Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

What is the projection of on ?

A
8.33

B
7.12

C
6.63

D
4.33
Question 2
1 / -0

Which of the following quantities is scalar?

A
Electric field

B
Angular momentum

C
Velocity

D
Electrostatic potential
Question 3
1 / -0

_{What will be the value of force on an electron moving with velocity}_{= 2.5}_10⁶_{m/s in a magnetic field}_{= Wb/m}²_{, if charge on an electron e is 1.6} _10^–19C?

A
2.4 10^–10 N

B
4.2 10^–10 N

C
6.2 10^–6 N

D
7.3 10^–9 N
Question 4
1 / -0

What is the dot product of the vectors, where = and = ?

A
6

B
12

C
13

D
0
Question 5
1 / -0

There are two displacement vectors of magnitudes 3 m and 4 m. At which angle should the two vectors be added, so that the magnitude of the resultant vector would be 7 m?

A
0°

B
90°

C
180°

D
60°
Question 6
1 / -0

Which of the following quantities can never be negative?

A
Displacement

B
Speed

C
Velocity

D
Acceleration
Question 7
1 / -0

Under what condition is the sum of two vectors equal to their difference?

A
When the vectors are equal and opposite

B
When one of the vectors is a null vector

C
When vectors are orthogonal

D
When the vectors are equal
Question 8
1 / -0

Fifty vectors, each of magnitude 10 units, are represented by the sides of a polygon, all taken in the same order. What is the resultant?

A
50

B
30

C
20

D
Zero
Question 9
1 / -0

The vectors A and B are such that |A + B| = |A – B|, then the angle between the two vectors will be _____

A
0°

B
60°

C
90°

D
180°
Question 10
1 / -0

If A and B are two vectors, then which of the following options is true?

A
A – B = B – A

B
A B = B A

C
A + B = B + A

D
All of these
Question 11
1 / -0

What is the condition that two non-zero vectors are perpendicular?

A
= 0

B

C

D
Question 12
1 / -0

Consider two vectors = m and = N. What is the value of cross product of these two vectors?

A

B

C

D
Question 13
1 / -0

Which of the following statements is NOT true?

A
The component of a vector perpendicular to itself is zero vector.

B
An angle between two vectors can be greater than 180°.

C
A vector cannot be divided by a vector.

D
The resultant of three coplanar vectors can be zero vector.
Question 14
1 / -0

What is the angle between and ?

A
cos^–1(– 0.332)

B
cos^–1(0.321)

C
cos^–1(1.31)

D
cos^–1(3.27)
Question 15
1 / -0

The magnitude of the vector product of two vectors is times their scalar product. What is the angle between the vectors?

A

B

C

D
Question 16
1 / -0

At what angle must the two forces (x + y) and (x – y) act, so that the result may be ?

A

B

C

D
Question 17
1 / -0

A particle moves from position to position in metre units and a uniform force N acts on it. What is the work done by the force?

A
110 J

B
65 J

C
113 J

D
85 J
Question 18
1 / -0

A boatman can row with a speed of 10 kmh^-1. If a river of width 2 km flows at 5 kmh^-1, then what is the direction in which the boatman should row to reach a point on the other bank directly opposite to the point from where he started?

A
Along the flow

B
60° in NW

C
90° to the direction of flow

D
120° to the direction of flow
Question 19
1 / -0

The work done by force is defined by W = F.S. In a certain situation F and S are not equal to zero, but work done is zero. From this what can be concluded?

A
F and S are in the same direction.

B
F and S are in the opposite directions.

C
F and S are at right angles.

D
F > S
Question 20
1 / -0

The magnitude of the resultant of two vectors is 12 units. If the magnitude of one vectors is 20 units, what is the magnitude of the other vector? (Given: The resultant is at right angels to the other vector)

A
12 units

B
20 units

C
16 units

D
18 units