Analysis and Approaches for IBDP Maths Ebook 2 | Page 286

Your Practice Set – Analysis and Approaches for IBDP Mathematics
32.2 (a) x �3y � 4z
� � 12
(b) 24
� �12� � 1 �
� � � �
(c) r � 0 � t
�3
� 0 � � �4�
� � � �
(d) (i) (12, 0, 0)
(ii)
y z
x �12
� � � �
3 4
(iii) � �� 48
32.3 (a) Refer to solution
(b) (i) a � 4 , b �� 12 , c � 6 ,
� �� 4
(ii) 96
(c) (i) CAA ˆ � � 56.3
(ii) ACA ˆ � � 67.4
(d) ( �9, 3, � 6)
32.4 (a) Refer to solution
(b) 24
(c) � � 95.9
(d) (i) (0, �2, � 1.5)
(ii)
x y�
2
� , z � � 1.5
�24 �16
34.2 (a) zB
�2 � 10i ,
z � �8 � (10 � 10 3)i
(b) 100 3
34.3 (a) Refer to solution
(b)
3�
arg( �)
�
4
(c) 36
34.4 (a) Refer to solution
(b)
5�
arg( �)
�
4
(c) 202.5
Exercise 35
35.1 (a) z3 � 3�
i
C
(b) b � 2 , c � 4 , d � 8
(c)
z 3
� 2e
�
i
6
35.2 (a) Refer to solution
(b)
35.3 Refer to solution
35.4 Refer to solution
2
( x �5)( x �1)( x � 6x
� 10)
Chapter 9
Exercise 33
33.1 (a) 8i
(b) � 8
33.2 � 2
33.3 � 3
33.4 5
Exercise 34
34.1 (a) zC
�27 � 7i , zD
�22 � 19i
(b) 338
276
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