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Find the coordinates of the foot of the ...

Find the coordinates of the foot of the perpendicular from o(0, 0, 0) to the plane `3x -4y+ 5z - 10 = 0`,

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Let the coordinates of foot of perpendicular `P(x_(1), Y_(1), z_(1))` from point O(0, 0, 0).
Equation of plane in normal form
`3/sqrt(50)xx-4/sqrt(50)y+5/sqrt(50)z-sqrt(2)=0`
Equation of line AP (normal to plane)
`x/(3/sqrt(50))=y/(-4/sqrt(50))=z/(5/sqrt(50))=lambda `
as `OP =sqrt(2)`
so coordinate of foot of perpendicular P
`(3/5,(-4)/5,1)`
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