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Is angle of incidence always equal to angle of reflection?
Yes. Although it may not seem like it when the surface is curved, the angles are taken in respect to the "tangent" (derivative) to the curve.
What is the relationship between the angle of incidence and the angle of of refraction known as?
The COEFFICIENT of Refraction.
How do you find the vector components only given the magnitude and angle?
One component = (magnitude) times (cosine of the angle).Other component = (magnitude) times (sine of the angle).In order to decide which is which, we have to know the angle with respect to what.
What is the measure of the angle of rotation with respect to two lines that intersect to form a 25 degree angle?
50. It is always two times the rotation.
How do you find the angle of reflection off of a mirror?
The angle of reflection (θr) off a planar surface (eg. mirror) is equal to the angle of incidence (θi) on that surface. They are measured with respect to the normal, which is an imaginary line drawn perpendicular to the surface. Or, in simpler terms, the angle of reflection is the same as the angle of incidence.
