Please solve RD Sharma Class 12 Chapter 26 Directions Cosines and Direction Ratio Exercise Multiple Choice Question, question 3 Maths textbook solution.
Answer: (d) All of these
Hint: Distance between plane passing through points is the length of edge
Given: Points (5,7,9) and (2,3,7)
Solution: In geometry, parallelopiped is a three dimension figure with six parallelogram
Let P and Q be the points. So, all the plane passes through these points. Now distance between planes joining (a,0,0) and (b,0,0) is |b-a|. Similarly, we can generate 3 pairs of plane from each coordinate from these 2 points.
For x-coordinate, value of a is
a=|5-2|=3
For y-coordinate, value of b is
b=|7-3|=4
For z-coordinate value of c is
c=|9-7|=2
Therefore, the edges of the parallelopoid are 3,4,2. Hence option (d) all of these is correct.