Free Printable 2-VEKTOR VA SKALYAR KATTALIKLAR

1.

Jism koordinatalari (-9; 4) bo’lgan joydan koordinatalari (3; -1) bo’lgan joyga o’tdi. Bunda jismning kochish vektorining OX va OY o’qlaridagi proyeksiyalari qanday bo’ladi?

a)

-12; 3

b)

12; 5

c)

12; -5

d)

-6; 3

2.

Chana gorizontal bilan 45⁰ burchak hosil qilgan tepalikdan pastga tomon 100 m masofani bosib tushdi. Chananing vertikal va gorizontal yo’nalishlardagi ko’chishini toping (m).

a)

71; 100

b)

71; 71

c)

100; 71

d)

50; 50

3.

Avtomobil gorizontga nisbatan 30⁰ burchak hosil qilgan qiyalikdan 2000 m ga ko’tarildi. Avtomobilning gorizontal va vertikal yo’nalishdagi ko’chishini toping.

a)

1730; 2000

b)

1730; 1000

c)

2000; 1730

d)

1000; 1730

4.

Yerning Quyosh atrofida aylanishida, Quyoshni moddiy nuqta deb qarash mumkinmi?

a)

Ha

b)

Yo’q

c)

Mumkin

d)

Albatta

5.

Yerning Quyosh atrofida aylanishida, Yerni moddiy nuqta deb qarash mumkinmi?

a)

Ha

b)

Yo’q

c)

Mumkin emas

d)

Iloji yo’q

6.

Koptok 3 m balanadlikdan Yerga tushdi va Yerdan qaytib ko’tarilayotganida 70 cm masofada tutib olindi. Koptokning ko’chishini va yo’lini (cm) toping.

a)

370; 230

b)

300; 230

c)

230; 370

d)

230; 300

7.

Koptok 3 m balandlikdan polga tushdi va poldan qaytib ko’tarilayotganda 1 m balandlikda tutib olindi. Koptokning yo’li va ko’chishi yig’indisini toping (m).

a)

2

b)

5

c)

4

d)

6

8.

Vertolyot gorizontal ravishda 60 km uchib, 90⁰burchak ostida burildi va yana 80 km uchdi. Vertolyot o’tgan yo’lni toping (km).

a)

20

b)

140

c)

100

d)

4800

9.

Sayyoh sharq tomon 3 km, so’ng shimol tomon 4 km yurdi. Sayyoh bosib o’tgan yo’lining ko’chishiga nisbatini toping.

a)

0,75

b)

1,3

c)

1,4

d)

0,8

10.

Sayyoh shimolga 3 km so’ngra janubga 6 km, sharqqa 4 km va g’arbga 8 km yurdi. Sayyohning ko’chishini toping (km).

a)

14

b)

2

c)

21

d)

5

11.

Sportchi uzunligi 200 m bo’lgan aylanani 10 marta aylandi. Uning ko’chishini toping (m).

a)

2000

b)

20

c)

0

d)

1000

12.

Jism koordinatalari (5; 11) bo’lgan nuqtadan koordinatalari (8; 15) bo’lgan nuqtaga ko’chdi. Uning ko’chishini OX o’qidagi proyeksiyasini toping.

a)

3

b)

4

c)

6

d)

7

13.

Jism koordinatalari (5; 11) bo’lgan nuqtadan koordinatalari (8; 15) bo’lgan nuqtaga ko’chdi. Uning ko’chishini OY o’qidagi proyeksiyasini toping.

a)

3

b)

4

c)

6

d)

7

14.

Jism koordinatalari (0; 3) bo’lgan nutadan koordinatalari (3; -1) bo’lgan nuqtaga ko’chirildi. Jism ko’chishining modulini toping (m).

a)

7

b)

4

c)

25

d)

5

15.

Jismning koordinatalari (5; 4) bo’lgan nuqtadan koordinatalari (9; 8) bo’lgan nuqtaga ko’chdi. Uning ko’chish modulini toping (m).

a)

$\sqrt[]{32}$

b)

$3\sqrt[]{8}$

c)

$\sqrt[]{34}$

d)

$2\sqrt[]{3}$

16.

Jism gorizontga nisbatan 30⁰ burchak ostida harakatlanib, 300 m balandlikka ko’tarildi. Jismning gorizontal yo’nalishdagi ko’chishini aniqlang (m).

a)

600

b)

520

c)

173

d)

73

17.

Turist gorizontga nisbatan 30⁰ burchak hosil qilgan qiyalikda 200 m yo’l yurdi. Turistning vertikal yo’nalishdagi ko’chishini aniqlang (m).

a)

173

b)

200

c)

100

d)

400

18.

Jism 5 m oldinga keyin 15 m orqaga yurdi. Uning yo’li, ko’chishi qancha bo’ladi?

a)

20; 0

b)

10; 20

c)

0; 10

d)

20; 10

19.

$\left|\overrightarrow{a}\right|=3\ va\ \left|\overrightarrow{b}\right|=7\ bo'lsa,\ \left|\overrightarrow{a}+\overrightarrow{b}\right|=?$

a)

21

b)

4

c)

10

d)

1

20.

$\left|\overrightarrow{a}\right|=9\ va\ \left|\overrightarrow{b}\right|=4\ bo'lsa,\ \left|\overrightarrow{a}-\overrightarrow{b}\right|=?$

a)

5

b)

13

c)

36

d)

2,25

21.

$\left|\overrightarrow{a}\right|=3\ va\ \left|\overrightarrow{b}\right|=7\ bo'lsa,\ \left|\overrightarrow{a}+\overrightarrow{b}\right|=?$

a)

21

b)

4

c)

$\sqrt[]{58}$

d)

$\sqrt[]{21}$

22.

$\left|\overrightarrow{a}\right|=4\ va\ \left|\overrightarrow{b}\right|=7\ bo'lsa,\ \left|\overrightarrow{a}+\overrightarrow{b}\right|=?$

a)

$\sqrt[]{65+28\sqrt[]{3}}$

b)

$\sqrt[]{65-28\sqrt[]{3}}$

c)

$\sqrt[]{28+65\sqrt[]{3}}$

d)

2,25 $\sqrt[]{28-65\sqrt[]{3}}$

23.

$Quyidagi\ rasmdagi\ \left|\overrightarrow{a}\right|=8\ bo'lsa,\ \overrightarrow{a}_x\ va\ \overrightarrow{a}_y\ ni\ toping.$

a)

$-2;\ -2\sqrt[]{3}$

b)

$2;\ 2\sqrt[]{3}$

c)

$4;\ 4\sqrt[]{3}$

d)

$-4;\ -4\sqrt[]{3}$

24.

$Quyidagi\ rasmdagi\ \left|\overrightarrow{c}\right|=6\sqrt[]{2}\ bo'lsa,\ \overrightarrow{c}_x\ va\ \overrightarrow{c}_y\ ni\ toping.$

a)

-6; 6

b)

-3; 3

c)

6; -6

d)

-1; 1

25.

Quyidagi qaysi vektorlarning OY o’qidagi proyeksiyasi manfiy?

a)

c

b)

d

c)

a

d)

b

26.

Geologlar guruhi avval sharqqa tomon 15 km, so’ngra g’arbga tomon 5 km yo’l yurib to’xtadilar. Guruh necha km masofaga ko’chgan?

a)

20

b)

5

c)

75

d)

10

27.

Havo shari yerdan 200 m balandlikka vertikal ko’tarilgach, shamol uni g’arb tomon muayyan masofaga eltdi. Agar havo sharining ko’chishi 250 m bo’lsa, uning o’tgan yo’li qanday (m)?

a)

450

b)

50

c)

350

d)

400

28.

Geologlar guruhi avval sharqqa tomon 15 km, so’ngra g’arbga tomon 5 km yo’l yurib to’xtadilar. Guruh necha km masofaga yurgan?

a)

20

b)

5

c)

75

d)

10

29.

Vertolyot gorizontal ravishda 60 km uchib, 90⁰ burchak ostida burildi va yana 80 km uchdi. Vertolyotning ko’chishini toping (km).

a)

140

b)

100

c)

160

d)

200

30.

Jism R radiusli aylana bo'ylab harakatlanayapti. Aylananing 1/2 qismini o'tganda yo'l va ko'chish modulini toping.

a)

2R; R/2

b)

$\pi R$ ; 2R

c)

$2\pi R;\ 2R$

d)

$\pi R;\ \frac{R}{2}$

2-VEKTOR VA SKALYAR KATTALIKLAR

Total questions: 30

Worksheet time: 5hrs 35mins

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