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

**Question**

- What is the shortest distance between a point which located at (1,2,-3) to the line of r = 2i +5j +10k + lambda (3i +6j + 5k).

**Answer**

- 12.14

*Note:*

*cos x = a.b/(|a||b|)a.b is the scalar product of two vectorIf a is perpendicular to b, then cos x = 0.In addition, this means a.b = 0.*

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