Please help. A ray of light coming from the point (-1, 3, 2) is travelling in the directionof the vector 4i + j -2k and meets the plane x + 3y + 2z - 24= 0. Find the angle that the ray of light makes with the plane.

Tks!

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- May 26th 2008, 09:57 AMpanteraVectors and planes
Please help. A ray of light coming from the point (-1, 3, 2) is travelling in the directionof the vector 4i + j -2k and meets the plane x + 3y + 2z - 24= 0. Find the angle that the ray of light makes with the plane.

Tks! - May 26th 2008, 10:20 AMSoroban
Hello, pantera!

Quote:

A ray of light coming from the point (-1, 3, 2) is travelling in direction

and meets the plane

Find the angle that the ray of light makes with the plane.

The ray has direction: .

The plane has normal direction

The angle between the ray and the normal is:

. .

Hemce,

Therefore, the angle between the ray and the plane is about: .