# Find the Length of the Perpendicular from Origin to the Plane - Mathematics

Sum

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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