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Quiz2:(2h-3h)

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.

សរសេរ  z=1i3 z=1-i\sqrt{3}\  ជាទម្រង់

ត្រីកោណមាត្រ   ។

a)

 z=cosπ3+isinπ3z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}  

b)

 z=2(cosπ6+isinπ6)z=2\left(\cos\frac{\pi}{6}+i\sin\frac{\pi}{6}\right)  

c)

 z=2(cos2π3+isin2π3)z=2\left(\cos\frac{2\pi}{3}+i\sin\frac{2\pi}{3}\right)  

d)

 z=2(cos5π3+isin5π3)z=2\left(\cos\frac{5\pi}{3}+i\sin\frac{5\pi}{3}\right)  

2.

   U(1,2,0)  V(2,3,2)   បើ\ \ \overrightarrow{U}\left(1,-2,0\right)\ និង\ \overrightarrow{V}\left(2,3,-2\right)\ \ ។\   

   U×V  គណនា\ \ \overrightarrow{U}\times\overrightarrow{V}\ \ ។  

a)

(4,2,-2)

b)

(4,2,7)

c)

(4,-2,7)

d)

(-4,0,1)

3.

a)

1+2+3

b)

8

c)

12

d)

5

4.

a)

1717

b)

252\sqrt{5}

c)

7171

d)

2121

5.

 U (u1,u2,u3)  ,   V (v1,v2,v3)\overrightarrow{U}\ \left(u_1,u_2,u_3\right)\ \ ,\ \ \ \overrightarrow{V}\ \left(v_1,v_2,v_3\right)    U ×V =....?\ \Longrightarrow\ \overrightarrow{U}\ \times\overrightarrow{V}\ =....?  

a)

 =(u2v3u3v2) i (u1v3u3v1) j +(u1v2u2v1) k =\left(u_2v_3-u_3v_2\right)\overrightarrow{\ i\ }-\left(u_1v_3-u_3v_1\right)\overrightarrow{\ j\ }+\left(u_1v_2-u_2v_1\right)\overrightarrow{\ k\ } 

b)

 =(u2v1u3v2) i (u1v3u2v1) j +(u1v2u2v1) k =\left(u_2v_1-u_3v_2\right)\overrightarrow{\ i\ }-\left(u_1v_3-u_2v_1\right)\overrightarrow{\ j\ }+\left(u_1v_2-u_2v_1\right)\overrightarrow{\ k\ }  

c)

 =(u2v3u3v2) i +(u1v3u3v1) j (u1v2u2v1) k =\left(u_2v_3-u_3v_2\right)\overrightarrow{\ i\ }+\left(u_1v_3-u_3v_1\right)\overrightarrow{\ j\ }-\left(u_1v_2-u_2v_1\right)\overrightarrow{\ k\ }  

d)

 =(u1v3u3v1) i (u1v2u2v1) j +(u1v2u2v1) k =\left(u_1v_3-u_3v_1\right)\overrightarrow{\ i\ }-\left(u_1v_2-u_2v_1\right)\overrightarrow{\ j\ }+\left(u_1v_2-u_2v_1\right)\overrightarrow{\ k\ }  

6.

. a ជាទទឹងនៃចតុកោណកែង

. b ជាបណ្ដោយនៃចតុកោណកែង

នោះគេបាន៖ ផ្ទៃក្រឡានៃចតុកោណកែងគឺ S=.....?

a)

S=a+b

b)

S=a×b

c)

S=2(a+b)

d)

S=(a+b)2

7.

(a+b)(a2-ab+b2)=....?

a)

a3 + b3

b)

a3 - b3

c)

(a + b)3

d)

(a - b)3

8.

(a-b)(a+b)=....?

a)

a2 - b2

b)

a2 + b2

c)

(a + b)2

d)

a2 × b2

9.

 2x13=7\frac{2x-1}{3}=7  

a)

x=10

b)

x=11

c)

x=15

d)

x=-6

10.

(a+b+c)2=....?

a)

a2 - b2 - c2 + 2ab + 2bc + 2ac

b)

a2 + b2 + c2 + 2ab

c)

a2 + b2 + c2 - 2ab - 2bc - 2ac

d)

a2 + b2 + c2 + 2ab + 2bc + 2ac