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Find the constant k so that the planes x...

Find the constant k so that the planes `x-2y+kz=0` and `2x+5y-z=0` are at right angles. Find the equation of the plane through `(1, -1, 1)` and perpendicular to these planes.

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The correct Answer is:
`k=-8,42x-15y+9z-48=0`
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