The planes: 2x − y + 4z = 5 and 5x − 2.5y + 10z = 6 are

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asked Jan 25, 2018 in Mathematics by sforrest072 (157,439 points) 61 410 949
The planes: 2x − y + 4z = 5 and 5x − 2.5y + 10z = 6 are

(A) Perpendicular      (B) Parallel    (C) intersect y-axis         (D) passes through (0,0,5/4)

1 Answer

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answered Jan 25, 2018 by mdsamim (213,225 points) 5 10 15
selected Jan 25, 2018 by sforrest072
 
Best answer

The equations of the planes are
2x − y + 4z = 5 … (1)
5x − 2.5y + 10z = 6 … (2)
It can be seen that,

Therefore, the given planes are parallel.
Hence, the correct answer is B.

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