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Total questions: 21

Worksheet time: 42mins

Name
Class
Date
1.

a)

B(2,1,3)B(2,1,3)

b)

B(1,2,3)B(1,2,3)

c)

B(3,1,2)B(3,1,2)

2.

a)

11i+16j+11k11i+16j+11k

b)

16i+10j+11k16i+10j+11k

c)

10i+16j+11k10i+16j+11k

3.

a)

12

b)

36

c)

18

4.

a)

90°90\degree

b)

57.7°57.7\degree

c)

135.8°135.8\degree

5.

a)

73unit2\sqrt{73}unit^2

b)

94unit2\sqrt{94}unit^2

c)

66unit2\sqrt{66}unit^2

6.

a)

60°60\degree

b)

45°45\degree

c)

90°90\degree

7.

a)

T=(8,2,3)T=(8,-2,3)

b)

T=(8,3,2)T=(8,3,-2)

c)

T=(2,3,8)T=(2,3,8)

8.

the following questions will follow this statement

a)

x11=y11=z51\frac{x-1}{-1}=\frac{y-1}{-1}=\frac{z-5}{-1}

b)

x+2=y11=z42x+2=\frac{y-1}{-1}=\frac{z-4}{2}

c)

x=y11=z5x=\frac{y-1}{-1}=z-5

9.

this question follows the previous statement

a)

28.56°28.56\degree

b)

90°90\degree

c)

61.44°61.44\degree

10.

this question follows the previous statement

a)

1.521.52

b)

1.351.35

c)

1.871.87

11.

the following questions will follow this statement

a)

p=15 , q=3p=15\ ,\ q=3

b)

p=6, q=30p=6,\ q=30

c)

p=3, q=5p=3,\ q=5

12.

this question follows the previous statement

a)

 7i+35j4k-7i+35j-4k  

b)

 7i35j+4k7i-35j+4k  

c)

 7i35j4k-7i-35j-4k  

13.

the following questions will follow this statement

a)

(3,1,2)\left(3,1,-2\right)

b)

(1,0,2)\left(1,0,-2\right)

c)

(2,0,1)\left(-2,0,1\right)

14.

this question follows the previous statement

a)

79.51°79.51°

b)

68.53°68.53°

c)

33.56°33.56°

15.
a)

30°30\degree

b)

45°45\degree

c)

60°60\degree

16.

this question follows the previous statement

a)

A(6, 4, 3)A\left(6,\ 4,\ -3\right)

b)

A(2, 4, 3)A\left(-2,\ 4,\ 3\right)

c)

A(4, 1, 2)A\left(4,\ -1,\ 2\right)

17.

the following questions will follow this statement

a)

x32=y3=z8\frac{x-3}{2}=\frac{y}{3}=\frac{z}{-8} r=(3i)+α(2i+3j8k)r=(3i)+α(2i+3j-8k)

b)

x2=(y3)3=(8z)10x-2=\frac{(y-3)}{-3}=\frac{(8-z)}{10} r=(2i+3j8k)+α(3j+10k)r=(2i+3j-8k)+α(-3j+10k)

c)


r=(3j+10k)+α(2i+3j8k)r=(-3j+10k)+α(2i+3j-8k)

x2=(y+3)3=(10z)8\frac{x}{2}=\frac{(y+3)}{3}=\frac{(10-z)}{8}

18.

this question follows the previous statement

a)

r.(2i+3j8k)=6r.(2i+3j-8k)=6

b)

r.(2i+3j8k)=8r.(2i+3j-8k)=8

c)

r.(2i+3j8k)=2r.(2i+3j-8k)=2

19.

this question follows the previous statement

a)

θ=163.53°θ=163.53°

b)

θ=146.76°θ=146.76°

c)

θ=128.58°θ=128.58°

20.
a)

78\sqrt{78}

b)


59\sqrt{59}

c)

44\sqrt{44}

21.

a)

12(59) unit2\frac{1}{2}(√59)\ \ unit^2

b)

16(44) unit2\frac{1}{6}(√44)\ unit^2