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In Euclidean space, a Euclidean vector is a geometric object that possesses both a magnitude and a direction. A vector can be pictured as an arrow. Its magnitude is its length, and its direction is the direction that the arrow points to. The magnitude of a vector n_{1} is denoted by ||n_{1}||.

The dot product of two Euclidean vectors n_{1} and n_{2} is defined by

n_{1}· n_{2} = ||n_{1}|| ||n_{2}|| cos *α*

where *α* is the angle between n_{1} and n_{2}.

The angle between two planes is equal to the acute angle determined by the normal vectors of the planes.

Two planes are perpendicular if their normal vectors are orthogonal.

## Example

Determine the **angle** between the following **planes**:

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