3 . The line L
1 passes through the point A ( 3 , �2 , � 1 ) and its direction vector is
vector equation of another line L
2 is perpendicular to both L
1
and L
2
.
� 3 � � 0 � � � � � r � �2 � t �3 . v is a vector which is
� �1� � 1 � � � � �
�5� � � 4 . The
�2�
� �
( a ) Find v .
( b ) Hence , write down the vector equation of the line passing through the point of intersection of L
1
and L
2
, and is parallel to v .
[ 3 ]
[ 2 ]
4 . The line L
1 passes through the points A ( 2 , 0,1 ) and B ( 3 , 3 , 3 ) . Another line L
2 passes through the points A and C ( 4 , �2 , � 2 ) .
( a ) Write down
8
( i ) AB � ;
( ii ) AC � .
� �
( b ) Hence , find AB� AC .
[ 2 ]
( c ) Write down the vector equation of the line passing through C and is parallel to
� �
AB� AC .
[ 2 ]
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