Find the distance between the given objects. The planes x - 8y + z = 20 and x - 8y + z = -57
A) 77
C) 0

Question

Find the distance between the given objects. The planes x - 8y + z = 20 and x - 8y + z = -57
A) 77 
C) 0

Quizplus · Accepted Answer

The distance between two parallel planes can be found by taking the absolute value of the difference of the constant terms in their equations, divided by the square root of the sum of the squares of the coefficients of x, y, and z.

In this case, both planes have the same coefficient values for x, y, and z, so the distance between them is simply the absolute value of the difference of the constant terms:

|-57 - 20| = 77

Therefore, the distance between the two planes is 77.

Find the Distance Between the Given Objects