Analysis and Approaches for IBDP Maths Ebook 2 | Page 106

Your Practice Set – Analysis and Approaches for IBDP Mathematics
Exercise 31
1. Find the obtuse angle between the planes with equations 2x �9y � 4z
�1� 0 and
3x �14y �3z
�3 � 0.
[5]
2. Find the vector equation of the line of intersection of the two planes represented by the
following system of equations.
5x � 3y � 2z
� 7
4x � 2y � 4z
� 5
[5]
3. Find the vector equation of the line of intersection of the three planes represented by the
following system of equations.
4x � 2y � z � 5
3x � y � 2z
� 2
x � y � z � 3
[5]
4. The three planes 2x � 2y �3z
� 9, x � 4y � 4z
� 9 and 2x � y � 2z
� � 3 meet at a point
A .
(a) Find the coordinates of A .
(b) Hence, write down the vector equation of the line passing through A and
perpendicular to the plane 2x � 2y �3z
� 9 .
[4]
[2]
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