Vector Practice Test 1 ( Addition & Resolution of Vector )

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Vector Practice Test 1 ( Addition and Resolution of Vector )

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1 / 38

Unit vector along the vector 4î + 3ĵ is _____

A) (4î + 3ĵ)/5

B) 4î + 3ĵ

C) (4î + 3ĵ)/6

D) (4î + 3ĵ)/10

2 / 38

When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______

A) Sum of magnitudes of the vectors

B) Difference of magnitudes of the vectors

C) Product of magnitudes of the vectors

D) Sum of the roots of magnitudes of the vectors

3 / 38

Following sets of three forces act on a body. Whose resultant cannot be zero

A) 10, 10, 20

B) 10, 20, 23

C) 10, 20, 40

D) 10, 10, 10

4 / 38

When subtracting B = 4î + 2ĵ from A = î – 6ĵ, the resultant A – B is:

A) –3î – 8ĵ

B) 5î + 4ĵ

C) –3î + 8ĵ

D) 3î – 8ĵ

5 / 38

If u and v are perpendicular unit vectors, then |u – v| equals:

A) 0

B) 1

C) √2

D) 2

6 / 38

A plane flies 300 km due north and then 400 km due west. Its resultant displacement is:

A) 500 km northwest

B) 700 km

C) 100 km

D) 250 km

7 / 38

Two vectors of equal magnitude V with angle 60° to each other. The magnitude of their resultant is:

A) V

B) V√2

C) V√3

D) 2V sin 30°

8 / 38

If A = 7î + 24ĵ, the magnitude of A is:

A) 17

B) 25

C) 31

D) 49

9 / 38

Two equal forces $P$ each act at a point with an angle of 120° between them. The magnitude of their resultant is:

A) P

B) 0

C) P/√2

D) P√2

10 / 38

If the sum of two unit vectors is a unit vector, then the magnitude of their difference and the angle between them are, respectively:

A) √2, 60°

B) √3, 60°

C) √2, 120°

D) √3, 120°

11 / 38

At what angle should the two force vectors 5 N and 12 N be added to get a resultant of 13 N?

A) 0°

B) 30°

C) 90°

D) 180°

12 / 38

Two equal forces act at right angles on a point. The magnitude of their resultant is:

A) F

B) 2F

C) F/√2

D) F√2

13 / 38

A particle moves 5 m east then 12 m north. Its resultant displacement from the start is:

A) 13 m

B) 7 m

C) 17 m

D) 6 m

14 / 38

The angle between vector Q and the resultant of (2Q + 2P) and (2Q – 2P)

A) tan⁻¹(P/Q)

B) 0°

C) tan⁻¹((2Q–2P)/(2Q+2P))

D) tan⁻¹(2Q/P)

15 / 38

Two perpendicular forces have magnitudes A and A/2. The magnitude of their resultant is:

A) 5A/2

B) (√5 A)/4

C) (A√5 )/2

D) (A²√5)/2

16 / 38

When A = 2î + 3ĵ + 2k̂ is subtracted from B, the result is 2ĵ. The magnitude of B is:

A) 3

B) √33

C) √6

D) √5

17 / 38

A vector in the xy-plane makes an angle of 30° with the y-axis. Its y-component is 2√3. The magnitude of its x-component is:

A) √3

B) 2

C) 6

D) 1/√3

18 / 38

Given A = (2, 3) and B = (–2, –3), the graphical sum A + B forms:

A) A triangle

B) A straight line

C) A closed loop

D) A parallelogram

19 / 38

Which property of vector addition states A + B = B + A?

A) Associative

B) Commutative

C) Distributive

D) Identity

20 / 38

Which is not part of adding vectors by rectangular components?

A) Resolve each vector into î and ĵ

B) Sum corresponding components

C) Draw the resultant by the parallelogram law

D) Multiply x- and y-components together

21 / 38

Two vectors A and B add to a resultant purely along the x-axis if:

A) Aᵧ + Bᵧ = 0

B) Aₓ + Bₓ = 0

C) Aᵧ = Bᵧ = 0

D) Aₓ and Bₓ are both positive

22 / 38

If A = 8î + 6ĵ and B = –8î + 6ĵ, the resultant A + B lies:

A) along +y-axis

B) along +x-axis

C) in the 1st quadrant

D) in the 2nd quadrant

23 / 38

Which method adds two vectors by drawing them from the same origin to form a parallelogram?

A) Triangle law

B) Parallelogram law

C) Pythagorean law

D) Commutative law

24 / 38

A = 4î + 3ĵ and B = –2î + 6ĵ. What is the angle θ of R from the +x-axis?

A) tan⁻¹(3/4)

B) tan⁻¹(9/2)

C) tan⁻¹(2/9)

D) tan⁻¹(3/6)

25 / 38

A = 3î – 4ĵ, B = –5î + 2ĵ. The resultant A + B is:

A) –2î – 2ĵ

B) –2î + 6ĵ

C) 8î – 2ĵ

D) 2î – 2ĵ

26 / 38

If A_x+ B_x= 0 but A_y + B_y ≠ 0, then A + B

A) lies along the x-axis

B) lies along the y-axis

C) is zero

D) is undefined

27 / 38

Two equal-magnitude vectors at right angles are added. The resultant’s magnitude is V√2 because

A) you multiply one component by √2

B) the dot product equals zero

C) Pythagoras’ theorem on the two equal legs

D) vectors become scalar when perpendicular

28 / 38

A = 5î + 0ĵ and B = 0î + 12ĵ. The magnitude of A + B is

A) 7

B) 13

C) 17

D) 60

29 / 38

Subtracting 2î + 7ĵ from î + ĵ gives ______

A) -î – 6ĵ

B) 3î + 8ĵ

C) î + 6

D) 7ĵ

30 / 38

ding 2î + 7ĵ and î + ĵ gives ______

A) 3î + 8ĵ

B) î + 35ĵ

C) î + 8ĵ

D) 2î + 7ĵ

31 / 38

On adding two vectors we get _____

A) A vector

B) A scalar

C) A number

D) An operation

32 / 38

If u·v = 0 (and neither u nor v is the zero vector), then u and v are:

A) Parallel

B) Perpendicular

C) Equal in length

D) One must be the zero vector

33 / 38

The vector from P(1, 2, 3) to Q(4, 0, 5) is:

A) 3i – 2j + 2k

B) – 3i + 2j – 2k

C) i + j + k

D) 4i + 0j + 5k

34 / 38

A unit vector u satisfies u×i = j. Then u is:

A) k

B) –k

C) j

D) –j

35 / 38

If u and v are two perpendicular unit vectors, then |u + v| equals:

A) 1

B) √2

C) 2

D) 0

36 / 38

Which property holds for any unit vector u?

A) u·u = 1

B) |u| = u

C) u×u = u

D) u + u = 1

37 / 38

The unit vector parallel to a = 3 i – 4 j + 12 k is:

A) (3/13) i – (4/13) j + (12/13) k

B) (3/5) i – (4/5) j + (12/5) k

C) (3/13) i + (4/13) j + (12/13) k

D) (–3/13) i + (4/13) j – (12/13) k

38 / 38

Which of the following is a unit vector?

A) i + j + k

B) ( i + j + k ) / √3

C) 2 i + 0 j + 0 k

D) i – k

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1	Muhammad Yar	1 minutes 36 seconds	32
2	SOFIA HAYAT	1 minutes 39 seconds	38
3	Hilal Riffat	3 minutes 13 seconds	38
4	Haya	3 minutes 22 seconds	38
5	Fizza Hussain	3 minutes 26 seconds	38
6	Rashid anwar	3 minutes 32 seconds	38
7	Fatima tarif	4 minutes 7 seconds	32
8	Kainat kalam	4 minutes 15 seconds	32
9	Ayesha akbar	4 minutes 18 seconds	38
10	AIMAN UROOJ	4 minutes 21 seconds	38
11	Anum khan	4 minutes 32 seconds	38
12	maimoona	7 minutes 23 seconds	38
13	Ayesha Bibi	8 minutes 19 seconds	38
14	Waqas Ahmad Baig	8 minutes 47 seconds	38
15	Savaira Rahman	9 minutes 6 seconds	32
16	Umair Hassan	15 minutes 13 seconds	32
17	Warisha kamal	18 minutes 21 seconds	32
18	HASHAM ZEB	19 minutes 32 seconds	38
19	Fatima	20 minutes 43 seconds	32
20	Amna adil	20 minutes 55 seconds	38
21	Kabir	21 minutes 52 seconds	32
22	Muhammad mahad Farooq	24 minutes 29 seconds	38
23	Mudasir Rafiq	25 minutes 36 seconds	32
24	JAWAD AMAN	27 minutes 14 seconds	32
25	Niaz Ali	35 minutes 48 seconds	32
26	Abdullah Shahab	37 minutes 56 seconds	32
27	chand	39 minutes 43 seconds	38
28	Kadmore khan	44 minutes 58 seconds	32
29	Ayesha Asghar .	44 minutes 58 seconds	32
30	Bakhtshan khan sher	1 hours 8 minutes 16 seconds	32
31	Kashmala	2 minutes 30 seconds	31
32	Salwa	2 minutes 31 seconds	37
33	Ajmaeen sarwar	4 minutes	31
34	Roman ullah Afridi	4 minutes 7 seconds	37
35	Sajjadullah	5 minutes 25 seconds	37
36	Zahid Khan	7 minutes 30 seconds	31
37	Nosheen hayat	9 minutes 50 seconds	37
38	Eman Azam	13 minutes 26 seconds	37
39	fazal hadi	13 minutes 31 seconds	37
40	Basharat Shahid	22 minutes 28 seconds	37
41	Jumana	22 minutes 54 seconds	37
42	Malik Muhammad Yasir	23 minutes 12 seconds	37
43	Qareeb ullah	24 minutes 3 seconds	31
44	Faiq Ahmad	27 minutes 38 seconds	37
45	Zainab Shaffi	40 minutes 26 seconds	31
46	areeba	50 minutes 36 seconds	37
47	Sheraz khan	52 minutes 29 seconds	31
48	Mahrukh	53 minutes 58 seconds	37
49	Muhammad adil	2 minutes 24 seconds	36
50	Abbas Ali Khan	3 minutes 51 seconds	36
51	Shawal khan	4 minutes 25 seconds	36
52	Noor Rehman	5 minutes 16 seconds	36
53	Arshad Naeem	8 minutes 23 seconds	36
54	Aiman Khan	13 minutes 43 seconds	36
55	Marwa Saeed	22 minutes 19 seconds	36
56	Lailma shah	26 minutes 28 seconds	36
57	asif iqbal	30 minutes 29 seconds	36
58	Muhammad Talha	37 minutes 45 seconds	36
59	Safoora Saman	54 minutes 4 seconds	36
60	Hibba noor	1 hours 23 minutes 41 seconds	36
61	Muhammad Azhar gul	2 minutes 52 seconds	30
62	zeeshan Ihsan	3 minutes 2 seconds	30
63	Aiman Tariq	14 minutes 14 seconds	30
64	Muhammad shabib khan	2 minutes 32 seconds	35
65	Muhammad Aamir Nazeer .	4 minutes 57 seconds	35
66	Sudais Hassan	7 minutes 24 seconds	35
67	Behzad Samar Hayat	8 minutes 34 seconds	35
68	Shafa khanwaiz	12 minutes 46 seconds	35
69	Shah sawar	16 minutes 50 seconds	35
70	shahid ali	16 minutes 57 seconds	35
71	Muhammad Haroon	25 minutes 11 seconds	35
72	Danyal Ahmad Khan	28 minutes 39 seconds	35
73	Barakna Zia	35 minutes 4 seconds	35
74	Muhammad Asim Mehsood	1 hours 14 minutes 36 seconds	35
75	Mian Saif Ali	1 hours 45 minutes	35
76	fizza hidayat	48 minutes 31 seconds	29
77	ujala noor	7 minutes 1 seconds	34
78	Amna Khan	8 minutes 56 seconds	34
79	zawata	16 minutes 23 seconds	34
80	Hiba khan	18 minutes 5 seconds	34
81	Hina saeed	18 minutes 50 seconds	34
82	Saman Hassan	21 minutes 2 seconds	34
83	Laiba	21 minutes 27 seconds	34
84	Gul Rukh	26 minutes	34
85	Shereen Riaz	26 minutes 19 seconds	34
86	Muhammad Hammad Ul Hassan	30 minutes 34 seconds	34
87	maarifian	35 minutes 30 seconds	34
88	Pretty	45 minutes 32 seconds	34
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99	SYED Albaher	30 minutes 20 seconds	33
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102	Atiq urrahman	43 minutes 50 seconds	33
103	Muhammad Mehran	49 minutes 10 seconds	33
104	Hareem Kanwal	49 minutes 50 seconds	33
105	Shuja	54 minutes 41 seconds	33
106	Aasia ikram	1 hours 25 minutes 19 seconds	33
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108	Ibrahim	9 minutes 51 seconds	32
109	Ayesha BiBi	13 minutes 23 seconds	32
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111	Shakir Ali Akmal	29 minutes 47 seconds	32
112	Abdul Haseeb	31 minutes 45 seconds	32
113	Mubashra Sahar	35 minutes 55 seconds	32
114	Sudais Rashid	36 minutes 18 seconds	32
115	faryal younas	45 minutes 43 seconds	32
116	a ahmed	47 minutes 45 seconds	32
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