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- Thread starter nineteen
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This is not an appropriate reference. In order to know what you read we need to know which article. Please provide a reference.I read in an article

The inner product of any two vectors is a scalar quantity. So in particular, the inner product of a vector with itself, i.e., the square of the vector, is a scalar quantity.

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Momentum, which is proportional to velocity, is a vector quantity. When two cars collide, it makes all the difference in the world if they were traveling in the same direction or in opposite directions.

Energy is proportional to the square of velocity. It takes the same energy (fuel burned) to accelerate a car from a stop to cruising speed, or to travel 100 km, regardless of whether the car is heading north, south, east or west.

- #4

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Energy in general is a scalar quantity. It is how it is defined, whether kinetic or potential.

This is not an appropriate reference. In order to know what you read we need to know which article. Please provide a reference.

The inner product of any two vectors is a scalar quantity. So in particular, the inner product of a vector with itself, i.e., the square of the vector, is a scalar quantity.

Thank you very much. I think I got what you taught. https://van.physics.illinois.edu/QA/listing.php?id=347&t=momentum-and-kinetic-energy This is the reference for that page I was talking about in the thread I started. This is kind of a Q and A article.

- #5

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Momentum, which is proportional to velocity, is a vector quantity. When two cars collide, it makes all the difference in the world if they were traveling in the same direction or in opposite directions.

Energy is proportional to the square of velocity. It takes the same energy (fuel burned) to accelerate a car from a stop to cruising speed, or to travel 100 km, regardless of whether the car is heading north, south, east or west.

Explained so simply. Thank you very much friend.

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