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Question
Find the length of the perpendicular from origin to the plane `vecr. (3i - 4j-12hatk)+39 = 0`
Solution
`vecr. (3i - 4j-12hatk)+39 = 0`
`3x - 4y - 12z + 39 = 0`
Perpendicular length from origin to plane
=` |(39)/ (sqrt(3^2 + 4^2+ 12^2))|`
=`| (39)/(sqrt(9+16+144))|`
= `|39/sqrt(169)|`
`= |3|`
`= 3 unit`
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