# Perpendicular distance from a point to a line (Vector)

**Perpendicular distance from a point to a line (Question)**

- Determine the shortest distance between a point A (3,5,3) to the line of r = 11i -1j – 3k + λ (i – j + 2k).

*Guide: *

Angle between two lines

cos x = a.b/(|a||b|)

a.b is the scalar product of two vector

If a is perpendicular to b, then cos x = 0.

Eventually, a.b = 0

**Perpendicular distance from a point to a line (Answer)**

*11.81*

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