# Angle between a line and a plane

**Angle between a line and a plane (Question)**

Determine the angle between a line, r = 5i + 8j + 2k + λ (2i + 2j + 3k), and a plane, r(3i – 2j + 2k) = 10.

*Guide:
*

Formula

sin x = (unit vector of y)*(unit vector of z)

where

**The equation of line**

r = a + λ y

and

**The equation of plane**

r.z = D

**Angle between a line and a plane (Answer)**

28.07

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