Your Practice Set – Applications and Interpretation for IBDP Mathematics
Exercise 32
1 . The line L
1 passes through the point A ( 1 , � 3 , 5 ) and its direction vector is
�2� � � 7 .
�4�
� �
( a ) Write down the vector equation of L
1
.
( b ) Another point B is given by B ( 3 , � 8 , 0 ) .
[ 2 ]
( i ) Write down AB � .
( ii ) Hence , write down the vector equation of the line passing through C ( 0 , 3 , 0 ) and is parallel to AB � .
[ 3 ]
2 . The line L
1 passes through the points A ( 1 , 4 , 7 ) and B ( �2 , � 8 , 5 ) .
( a ) ( i ) Write down AB � .
( ii ) Hence , write down the vector equation of the line passing through A and is parallel to AB � .
C ( k , 0 , 4 ) is a point such that BC � AB .
[ 3 ]
( b ) Find the value of k . [ 3 ]
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