Chapter 11: Three Dimensional Geometry
Important Questions
1. If the Cartesian equations of a line are 
Write the vector equation for the line.
2. If a line has direction ratios 2, –1, –2, then what are its direction cosines?
3. 
4.
5. 
Sample Questions
1. 
2. Write the direction ratios of the following line:
3. Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + 5z = 20.
4. Write the sum of intercepts cut off by the plane on 
the three axes.
5. 
6. If 
and 
then find the projection of 
and 
.