Apps. and Interpretation for IBDP Maths Ebook 2 | Page 341

Answers

Exercise 35

35.1	( a )	( i )	t �� 2
		( ii )	( 3 , 5 , 2 )

�

( b ) ( i ) CA _� 12 _i _� 6 _j� 4 _k

�

( ii ) CB _� _� 3 _i _� 2 _j� 6 _k

( iii ) 42.7

( c )		� 3� � �44� � � � � r � 5 �u 60 � 2� � 42 � � � � �
( d )		713 d �� 11
( e )		( i )	735 70i �100j � k 11
		( ii )	1980
35.2	( a )	Refer to solution

( b ) � � 30

�

( c ) ( i ) CA _� 2 _i

�

( ii ) CB _�i� 3 _j

( iii )			ACB ˆ � 60
	( d )	1.73
	( e )	( i )	h � 10
		( ii )	17.3
35.3	( a )	( i )	Refer to solution
		( ii )	( 4 , 6 , 4 )

( b ) a � 3

�

( c ) ( i ) OR _� 3 _i _� 4 _j� 3 _k

( ii ) ( � 1 , 0 , 2 )

�

( d ) ( i ) PQ _� _� 5 _i _� 6 _j�

2 _k ( ii ) �30i �36j�12k

�

( iii ) PR _� _�i _� 2 _j�k

�

( iv ) PS _� _� 14 _i _� 28 _j� 14 _k

( v ) 223

35.4	( a )	( i )	� 3� � �3� � � � � r � 0 � t �3 � 3� � �3� � � � �
		( ii )	�3ti �3 tj� ( 3�3 t) k

( iii ) Refer to solution

( b )	( i )	� � BA _�� 3 _k _, _BC _��3i
	( ii )	n1 � �9i � 9j

( iii ) n2 � �9j� 9k

( iv ) 60 ( c ) ( 0 , 5 , 0 ) and ( 0 , � 5 , 0 )

Chapter 9

Exercise 36

36.1	( a )	3
	( b )	�0 1 1 1� � � 1 0 1 1 M � � � � 1 1 0 1 _� � � �1 1 1 0�
	( c )	6
36.2	( a )	5
	( b )	�0 1 0 2� � � 1 2 1 1 M � � � � 0 1 0 1 _� � � �2 1 1 0�
	( c )	236
36.3	( a )	( i )	2
		( ii )	1
( b )		�0 1 0 0 0� � � � 0 0 0 1 0 � M � �0 1 0 0 0� _� _� 0 0 1 0 1 �1 0 0 0 0� � �
( c )		4

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