Vector Practice Test 2 ( Addition & Resolution of Vector )

Physics Practice

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1 / 29

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

2 / 29

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

3 / 29

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

A) k

B) –k

C) j

D) –j

4 / 29

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

A) 1

B) √2

C) 2

D) 0

5 / 29

Which property holds for any unit vector u?

A) u·u = 1

B) |u| = u

C) u×u = u

D) u + u = 1

6 / 29

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

7 / 29

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

8 / 29

A force of 25 N acts at 180° to the x-axis. What is the magnitude of its x-component?

A) 0 N

B) 12.5 N

C) 25 N

D) –25 N

9 / 29

A force of 8 N acts at 45° to the x-axis. What is the magnitude of its x-component?

A) 4 N

B) 4√2 N

C) 8 N

D) 0 N

10 / 29

A force of 12 N acts at 30° to the x-axis. What is the magnitude of its y-component?

A) 3 N

B) 6 N

C) 10 N

D) 12 N

11 / 29

A force of 15 N acts at 90° to the x-axis. What is the magnitude of its x-component?

A) 0 N

B) 7.5 N

C) 15 N

D) 30 N

12 / 29

A force of 20 N acts at 60° to the x-axis. What is the magnitude of its x-component?

A) 5 N

B) 10 N

C) 15 N

D) 20 N

13 / 29

A force of 10 N is acting along the x-axis. Which of the following is the magnitude of its y-component?

A) 1 N

B) 5 N

C) 15 N

D) 0 N

14 / 29

A force of 10 N is acting along the x-axis. Which of the following is the magnitude of its y-component?

A) 1 N

B) 10 N

C) 5 N

D) 0 N

15 / 29

For any nonzero scalar k, the vector kA is ______ to A.

A) parallel

B) perpendicular

C) identical

D) zero

16 / 29

The magnitude of the vector 3A is

A) 3|A|

B) |A|

C) |A|/3

D) 0

17 / 29

If a vector is multiplied by a scalar k then the resultant may be

A) 0

B) kA

C) –kA

D) all of these

18 / 29

Two vectors are said to be collinear if the angle between them is

A) 0° or 180°

B) 90°

C) 45°

D) undefined

19 / 29

The magnitude of the cross product A × B is given by

A) A + B

B) A B cos θ

C) A B sin θ

D) |A – B|

20 / 29

The vector having zero magnitude and arbitrary direction is called

A) zero vector

B) null vector

C) unit vector

D) both a & b

21 / 29

The cross product A × B of two parallel vectors is:

A) AB

B) 0

C) A – B

D) a vector perpendicular to both

22 / 29

The dot product A · B of two perpendicular vectors is:

A) AB

B) 0

C) A + B

D) √(A² + B²)

23 / 29

A unit vector is defined as a vector whose magnitude is:

A) 0

B) 1

C) equal to the magnitude of the original vector

D) greater than 1

24 / 29

Adding any vector A to the zero vector 0 gives:

A) A

B) 0

C) 2A

D) –A

25 / 29

If two perpendicular vectors of magnitudes A and B are added, the magnitude of the resultant R is:

A) A + B

B) A² + B²

C) √(A² + B²)

D) |A – B|

26 / 29

Vector addition is commutative. That means:

A) A + B ≠ B + A

B) (A + B) + C = A + (B + C)

C) A + B = B + A

D) A × B = B × A

27 / 29

Addition of vectors obey the law of _____

A) head-to-tail rule

B) simple addition

C) cross product

D) dot product

28 / 29

Two forces each of 10 N act at angles of 0° and 90° to the x-axis. What is the magnitude of their resultant?

A) 10 N

B) 14.14 N

C) 20 N

D) 0 N

29 / 29

A child pulls a box with a force of 200N at an angle of 60∘ above the horizontal. Then the horizontal and vertical components of the force will be:

A) 100N, 175 N

B) 86.6 N, 100N

C) 100 N, 86.6 N

D) 100 N, 0 N

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1	Ayesha Bibi	1 minutes 18 seconds	29
2	SOFIA HAYAT	1 minutes 28 seconds	29
3	Hilal Riffat	1 minutes 56 seconds	29
4	Haya Waseem	1 minutes 56 seconds	29
5	Muhammad mahad Farooq	2 minutes 4 seconds	29
6	Kashmala	2 minutes 10 seconds	28
7	Anum khan	2 minutes 13 seconds	29
8	Sajjadullah	2 minutes 17 seconds	29
9	Ayesha akbar	2 minutes 24 seconds	29
10	Danyal Ahmad Khan	2 minutes 49 seconds	29
11	Zainab Shaffi	2 minutes 52 seconds	29
12	Muhammad Yar	2 minutes 55 seconds	28
13	Sajid ur rehman	2 minutes 56 seconds	29
14	Eman Azam	3 minutes 6 seconds	29
15	Savaira Rahman	3 minutes 32 seconds	29
16	Muhammad Aamir Nazeer .	3 minutes 54 seconds	29
17	Mahrukh	4 minutes 17 seconds	29
18	Mubashra sahar	4 minutes 24 seconds	29
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21	Nosheen hayat	10 minutes 40 seconds	29
22	Muhammad Numan shah	11 minutes 7 seconds	29
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24	fazal hadi	12 minutes 17 seconds	29
25	Fatima	13 minutes 26 seconds	29
26	Ayesha Asghar .	14 minutes 20 seconds	28
27	Sana	15 minutes 18 seconds	29
28	Muhammad Talha	17 minutes 40 seconds	29
29	chand	19 minutes 20 seconds	29
30	Aiman Khan	19 minutes 47 seconds	29
31	Hibba noor	31 minutes 19 seconds	29
32	Saman Hassan	2 minutes 1 seconds	28
33	Muhammad shabib khan	2 minutes 9 seconds	28
34	Laiba	2 minutes 27 seconds	28
35	Lailma shah	4 minutes 40 seconds	28
36	Shah sawar	7 minutes 25 seconds	28
37	Sohail ahmad	8 minutes 27 seconds	28
38	Lunaa khan	9 minutes 43 seconds	28
39	Shakir Ali Akmal	12 minutes 9 seconds	28
40	kalsoom bibi	12 minutes 32 seconds	28
41	maarifian	12 minutes 44 seconds	28
42	Mudasir Rafiq	13 minutes 39 seconds	28
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44	hania shah	2 minutes 12 seconds	27
45	Qareeb ullah	13 minutes 31 seconds	27
46	Abdullah Shahab	13 minutes 53 seconds	27
47	Aila noor	15 minutes 4 seconds	27
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77	Aasia ikram	6 minutes 13 seconds	26
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79	Nabiha Saeed	8 minutes 18 seconds	26
80	laiba	10 minutes 2 seconds	26
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82	Humna	11 minutes 3 seconds	26
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107	Hasan Aftab	5 minutes 53 seconds	25
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109	Bakhtawar Jadoon	8 minutes 8 seconds	25
110	NAJMA SHAHID	8 minutes 36 seconds	25
111	Amna Khan	9 minutes 54 seconds	25
112	Atique Khan	10 minutes 28 seconds	25
113	M	12 minutes 10 seconds	24
114	Hina saeed	12 minutes 26 seconds	25
115	Amna adil	12 minutes 34 seconds	25
116	Junaid iqbal	12 minutes 59 seconds	25
117	aimal03330215500@gmail.com	13 minutes 27 seconds	25
118	A	14 minutes 2 seconds	25
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132	Muhammad Oneeb Umar	28 minutes 21 seconds	25
133	Hammad wahid	31 minutes 34 seconds	25
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162	Pretty	19 minutes 56 seconds	24
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