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❖ Vectors - The Dot Product ❖
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In this video we look at finding the dot product of two vectors.
Note that the dot product of two vectors is merely the product of the respective components of each vector all added together. Therefore the dot product is a scalar; that is: the dot product is just a number.
What does this number tell us exactly?
One useful result is that if the dot product of two vectors is zero then the two vectors are orthogonal or perpendicular. Likewise, if two vectors are orthogonal / perpendicular, then their dot product must equal zero.
Likewise we can use the dot product and the magnitudes of two vectors to help us find the angle between the two vectors.
#vector #calculus #dotproduct
Note that the dot product of two vectors is merely the product of the respective components of each vector all added together. Therefore the dot product is a scalar; that is: the dot product is just a number.
What does this number tell us exactly?
One useful result is that if the dot product of two vectors is zero then the two vectors are orthogonal or perpendicular. Likewise, if two vectors are orthogonal / perpendicular, then their dot product must equal zero.
Likewise we can use the dot product and the magnitudes of two vectors to help us find the angle between the two vectors.
#vector #calculus #dotproduct
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