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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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