Practice Test 3 ( Resultant of Vector )

Physics Practice

124

Vectors Practice Test 3 ( Resultant of Vector)

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1 / 27

Given A = 3i + 4j – 5k and B = 1i – 2j + 2k, the magnitude of R = A – 2B is:

A) √82

B) √100

C) √146

D) √164

2 / 27

Vectors A = 4i − 2j and B = −i + 5j act at a point. The direction of the resultant R = A + B, measured from the positive x-axis, is:

A) 30°

B) 45°

C) 60°

D) 90°

3 / 27

Three mutually perpendicular vectors of magnitudes 2, 3 and 6 units act simultaneously at a point. The magnitude of their resultant is:

A) √11

B) 7

C) √7

D) √49

4 / 27

Two vectors of magnitudes 5 units and 7 units act with an angle of 60° between them. The magnitude of their resultant is:

A) √45

B) √71

C) √109

D) √114

5 / 27

Consider vectors A = 3i + 4j and B = 2i − j. The magnitude of the resultant R = A + B is:

A) √19

B) √34

C) √29

D) √14

6 / 27

For the figure -

A) A+B=C

B) B+C=A

C) C+A=B

D) A+B+C=0

7 / 27

If the angle between the unit vectors â and b̂ is 60°, then |â − b̂| is:

A) 0

B) 1

C) 2

D) 4

8 / 27

What displacement must be added to the displacement
25 î − 6 ĵ m to give a displacement of 7.0 m pointing in the x-direction?

A) 18 î − 6 ĵ

B) 32 î − 13 ĵ

C) −18 î + 6 ĵ

D) −25 î + 13 ĵ

9 / 27

Two forces, F1 and F2 are acting on a body. One force is doubled of the other force and the resultant is equal to the greater force. Then the angle between the two forces is -

A) cos⁻¹(1/2)

B) cos⁻¹(−1/2)

C) cos⁻¹(−1/4)

D) cos⁻¹(1/4)

10 / 27

A truck travelling due north with 20m/s turns towards west and travels at the same speed. Then the change in velocity is -

A) 40 m/s north-west

B) 20√2 m/s north-west

C) 40 m/s south-west

D) 20√2 m/s south-west

11 / 27

The three vectors OA, OB and OC have the same magnitude R. Then the sum of these vectors have magnitude -

A) R

B) √2 R

C) 3R

D) ( 1 + √ 2 )R

12 / 27

A force of 6 N and another of 8 N can be applied together to produce the effect of a single force of -

A) 1 N

B) 11 N

C) 15 N

D) 20 N

13 / 27

Which of the sets given below may represent the magnitude of resultant of three vectors adding to zero?

A) 2, 4, 8

B) 4, 8, 16

C) 1, 2, 1

D) 0.5, 1, 2

14 / 27

In the given figure

A) Angle between A and B is 110∘

B) Angle between C and D is 60∘

C) Angle between B and C is 110∘

D) Angle between B and C is 70∘

15 / 27

Two time-dependent vectors are defined as

A = cos t i + sin t j
B = cos (t⁄2) i + sin (t⁄2) j

At what smallest positive value of t (in radians) are A and B perpendicular?

A) π⁄2

B) π

C) 3π⁄2

D) 2π

16 / 27

If the magnitude of the sum of two vectors is equal to the magnitude of the difference of the two vectors, the angle between these vectors is:

A) 0∘

B) 90∘

C) 45∘

D) 180∘

17 / 27

Two forces are such that the sum of their magnitudes is 18N and their resultant is perpendicular to the smaller force and the magnitude of the resultant is 12N. Then the magnitudes of the forces will be:

A) 4 N and 14 N

B) 5 N and 13 N

C) 6 N and 12 N

D) 7 N and 11 N

18 / 27

Two forces of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

A) 45°

B) 120°

C) 150°

D) 60°

19 / 27

If the angle between the two forces increases, the magnitude of their resultant:

A) Decreases

B) Increases

C) Remains unchanged

D) First decreases, then increases

20 / 27

if we have two vectors P and Q and P=Q then which of the following is not correct

A) P̂ = Q̂

B) |P| = |Q|

C) P Q̂ = Q P̂

D) P + Q = P̂ + Q̂

21 / 27

If A = B + C and the magnitudes of A, B, C are 5, 4, 3 units respectively, the angle between A and C is:

A) cos⁻¹ (3⁄5)

B) cos⁻¹ (4⁄5)

C) sin⁻¹ (3⁄4)

D) π⁄2

22 / 27

Two forces of the same magnitude are acting on a body in the East and North directions, respectively. If the body remains in equilibrium, then the third force should be applied in the direction of:

A) North-East

B) North-West

C) South-West

D) South-East

23 / 27

For the given figure, which of the following is true?

A) B=A+C

B) A=B+C

C) C=A+B

D) All of these

24 / 27

If the magnitude of the sum of two vectors equals the magnitude of their difference, the angle between the vectors is:

A) 90°

B) 45°

C) 180°

D) 0°

25 / 27

There are two force vectors, one of 5 N and the other of 12 N. At what angle should the two vectors be added so that the resultant has a magnitude of 17 N, 7 N, and 13 N respectively?

A) 0°, 180° and 90°

B) 0°, 90° and 180°

C) 0°, 90° and 90°

D) 180°, 0° and 90°

26 / 27

If | v₁ + v₂ | = | v₁ − v₂ | and v₁, v₂ are non-zero vectors, then:

A) v₁ is parallel to v₂

B) v₁ = v₂

C) v₁ and v₂ are mutually perpendicular

D) | v₁ | = | v₂ |

27 / 27

Two forces A and B have a resultant R₁. If B is doubled, the new resultant R₂ is perpendicular to A. Then

A) R₁ = A

B) R₁ = B

C) R₂ = A

D) R₂ = B

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Pos.	Name	Duration	Points
1	Hilal Riffat	1 minutes 35 seconds	27
2	Sudais Hassan	2 minutes 59 seconds	27
3	Sajjadullah	3 minutes 47 seconds	27
4	Haya Waseem	3 minutes 52 seconds	27
5	Amna Khan	4 minutes 9 seconds	27
6	Shabina Manahil	6 minutes 36 seconds	27
7	Savaira Rahman	7 minutes 28 seconds	27
8	chand	28 minutes	27
9	Fatima	41 minutes 48 seconds	27
10	Waqas Ahmad Baig	2 minutes 8 seconds	26
11	Muhammad mahad Farooq	2 minutes 24 seconds	26
12	Muhammad Aamir Nazeer .	2 minutes 59 seconds	26
13	Shakir Ali Akmal	4 minutes 46 seconds	26
14	Nabiha Saeed	6 minutes 22 seconds	26
15	Nosheen hayat	11 minutes 52 seconds	26
16	Laiba	15 minutes 3 seconds	26
17	Ahmad khan	16 minutes 40 seconds	26
18	Mudasir Rafiq	1 hours 16 minutes 14 seconds	26
19	Hibba noor	1 hours 16 minutes 18 seconds	26
20	Ayesha Asghar .	2 minutes 17 seconds	25
21	Barakna Zia	3 minutes 8 seconds	25
22	Muhammad zakir	14 minutes 2 seconds	25
23	Eman Azam	16 minutes 35 seconds	25
24	Salwa	42 minutes 17 seconds	25
25	Imad Khan	1 minutes 46 seconds	24
26	Abdullah	7 minutes 27 seconds	24
27	Rahman Ali	36 minutes 17 seconds	24
28	Haya Khan	42 minutes 11 seconds	24
29	areeba	1 hours 27 minutes 27 seconds	24
30	Muhammad Asim Mehsood	3 hours 38 seconds	24
31	Muhammad shabib khan	4 minutes 2 seconds	23
32	Sana khan	9 minutes 3 seconds	23
33	Shah sawar	17 minutes 14 seconds	23
34	Hina saeed	18 minutes 10 seconds	23
35	Maheen afzal	31 minutes 42 seconds	23
36	Mahrukh	36 minutes 58 seconds	23
37	Gul	59 minutes 25 seconds	23
38	Maryam	20 minutes 9 seconds	21
39	Madeeha hussain	20 minutes 55 seconds	21
40	Awais Zia	21 minutes	21
41	Sana hidayat	22 minutes 12 seconds	21
42	Zainab Shaffi	25 minutes 23 seconds	21
43	Atique Khan	41 minutes 51 seconds	21
44	Muhammad Izhar	1 hours 3 minutes 27 seconds	21
45	Hanzala Umar	1 hours 35 minutes 53 seconds	21
46	Doctor	1 hours 39 minutes 40 seconds	21
47	Muhammad Sudais	1 hours 42 minutes 46 seconds	21
48	Shawal khan	4 hours 4 minutes 3 seconds	21
49	Saman Hassan	11 minutes 44 seconds	20
50	Lailma shah	50 minutes 46 seconds	20
51	kalsoom bibi	56 minutes 33 seconds	20
52	Yahya khan	1 hours 12 minutes 37 seconds	20
53	Abdullah	1 hours 16 minutes 28 seconds	20
54	Dr. Hu	1 hours 18 minutes 7 seconds	20
55	Hayat Ullah	1 hours 23 minutes 5 seconds	20
56	maimoona	3 minutes 36 seconds	19
57	Junaid iqbal	28 minutes 52 seconds	19
58	Abdullah Shahab	35 minutes 23 seconds	19
59	Burhan khan	38 minutes 24 seconds	19
60	Moonpie	43 minutes 52 seconds	19
61	Muhammad Oneeb Umar	50 minutes 29 seconds	19
62	Javeria Shah	54 minutes 36 seconds	19
63	Javeria Karim .	55 minutes 36 seconds	19
64	Dr.Unknown	57 minutes 24 seconds	19
65	ilyas khan	58 minutes 21 seconds	19
66	Hammad wahid	1 hours 14 minutes 33 seconds	19
67	Hira Niaz	6 hours 7 minutes 18 seconds	18
68	Aasia ikram	17 minutes 24 seconds	18
69	Saad Ali	28 minutes 3 seconds	18
70	Adnan Khan	30 minutes 2 seconds	18
71	shahid ali	33 minutes 26 seconds	18
72	Umair Mushtaq	42 minutes 2 seconds	18
73	Ashhad Khan Noon	50 minutes	18
74	Arsalan Abbas	1 hours 1 minutes 38 seconds	18
75	Muhammad Mehran	1 hours 15 minutes 28 seconds	18
76	Dr Dilan	1 hours 35 minutes 9 seconds	18
77	Muhammad Ashan Zafar	1 hours 45 minutes 2 seconds	18
78	Gul khan	16 minutes 54 seconds	17
79	Owais khan	17 minutes 9 seconds	17
80	Numan saeed	19 minutes 41 seconds	17
81	Rafsha khan	34 minutes 2 seconds	17
82	Muhammad iltaf	35 minutes 23 seconds	17
83	a ahmed	36 minutes	17
84	Humna	38 minutes 13 seconds	17
85	Beena Hoor Ul Ain	43 minutes 15 seconds	17
86	Mahpara Imran	53 minutes 33 seconds	17
87	Sudais Rashid	1 hours 2 minutes 23 seconds	17
88	Faiq Ahmad	1 hours 5 minutes 7 seconds	17
89	hooram amin	3 hours 40 minutes 16 seconds	17
90	Arooba khan	19 minutes 26 seconds	16
91	kmcite	1 hours 31 minutes 34 seconds	15
92	HUSNA ISLAM	39 minutes 47 seconds	14
93	Sania Khan	1 hours 6 minutes 24 seconds	13
94	Insha saeed	37 minutes 46 seconds	12
95	Marwa	1 hours 35 minutes 23 seconds	11
96	Diya	19 hours 32 seconds	8
97	Eprepare Academy	5 seconds	0

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