Find the distance between the given parallel planes.4x − 5y + z = 16,    8x − 10y + 2z = 2

Question

Find the distance between the given parallel planes.4x − 5y + z = 16,    8x − 10y + 2z = 2
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Solution 1

To find the distance between the given parallel planes, we can use the formula:

distance = |d| / √(a^2 + b^2 + c^2)

where d is the constant term in the equation of one of the planes, and a, b, and c are the coefficients of x, y, and z respectively.

In this case, the equations of the planes are:

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