Angle between Two Vectors


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Examples, solutions, videos, worksheets, games and activities to help PreCalculus students learn how to find the angle between two vectors.

The Angle Between Vectors
The vector formula to find the angle between vectors is a useful formula to memorize. This formula uses the dot product, magnitude and cosine to give us the angle between vectors. We can use this formula to not only find the angle between vectors, but to also find the angle between planes and the angle between vectors in space, or in the 3D coordinate system.

The following figure gives the formula to find the angle between two vectors or two planes. Scroll down the page for more examples and solutions.

Angle between Two Vectors
 

Determining the Angle Between Two Vectors




How to compute the angle between two vectors?
Dot Product : Find Angle Between Two Vectors

Vectors
The dot product, properties of the dot product, and finding the angle between two vectors. Included is the derivation of the angle between two vectors formula.



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