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Angle between a line and a plane

Question

What is the angle between a line, r = 3i + 5j + 3k + λ (i + 5j – 3k), and a plane, r(2i + 2j + 3k) = 1?

 

Answer

7.06

Note:

Formula

sin h = (unit vector of b)*(unit vector of c)

where

The equation of line
r = x + λ b

and

The equation of plane
r.c = D

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