Analysis and Approaches for IBDP Maths Ebook 2 | Page 108

Your Practice Set – Analysis and Approaches for IBDP Mathematics
(c)
The volume of the pyramid OABC
1 �(OA)(OB)
�
� � � (OC)
3�
2 �
(M1) for valid approach
1 �(2)(2)
�
� � � (2)
3�
2 �
(A1) for substitution
4
�
3
A1
(d) The vector equation of the line L :
�0� � 1 �
� � � �
r � 0 � t
�1
(A1) for correct values
�0� � 1 �
� � � �
� x�
t
�
�y
�� t
�
� z � t
(e) x � y � z � 2
(f)
�t �( �t) �t
� 2
(M1) for substitution
3t � 2
2
t � (A1) for correct value
3
Thus, the coordinates of the point of intersection of
�2 2 2 �
L and � are � , � , �
�3 3 3 � .
The required perpendicular distance
2 2 2
2 2 2
� � � � 0 � � � � � � � 0 � � � � � � 0
�
�
� 3 � � 3 � � 3 �
�
4
3
A1
A1
2 3
� A1
3
1 2 3 4
( A)
� � 3 �
�
3 �
� � 3
2
4
3 A �
A � 2 3
A1
(M1) for setting equation
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