Q. 44.5( 6 Votes )

Find the distance

Answer :

Formula Used:

The distance between two planes: ax + by + cz + d1 = 0 and ax + by + cz + d2 = 0 is given by


 
Given planes are, 2x - y + 2z = 5 and 5x - 2.5y + 5z = 20
Now, Writing both equations of the plane in general form we have, 
2x - y + 2z - 5 = 0
5x - 2.5y + 5z - 20 = 0
On dividing above equation by 2.5, we can re-write it as
2x - y + 2z - 8 = 0

Now, we can apply the formula and we have
a = 2, b = -1, c = 2, d1 = -5 and d2 = -8
therefore, Distance
 

Hence, distance between given two planes is 1 unit.

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