Calculate the angle between (2,2,4) and (2,-1,1). The result is a familiar angle, so the answer is to be given exactly.

The angle between and is 60º.

Step-by-step explanation:

From linear algebra, we can determine the angle between both vectors by definition of dot point:

(1)

Where:

, - Vectors.

, - Norms of vectors.

- Angle between vectors, measured in sexagesimal degrees.

If we know that and , then angle between vectors is:

(2)

(3)

The angle between and is 60º.

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