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Nano-Passion
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I want to learn about vectors and their interactions from a more rigorous viewpoint. Things like the cross product for example are covered very superficially in the textbooks I've looked at.
I just mean that I want to study things like the vector product in more detail.Mmm_Pasta said:What do you mean? I learned about dot products and cross products in linear algebra. A textbook on that maybe? Or perhaps a book on vector calculus.
Nano-Passion said:I just mean that I want to study things like the vector product in more detail.
and there.
A vector in science is a quantity that has both magnitude and direction. It is represented by an arrow pointing in the direction of the vector and the length of the arrow represents the magnitude.
Vectors are used in science to describe and analyze interactions between objects, such as forces, velocity, and acceleration. They are also used in mathematical models to represent physical quantities.
To add or subtract vectors, you must first break them down into their x and y components. Then, you can add or subtract the components separately to get the resulting vector. You can also use the Pythagorean theorem to find the magnitude of the resulting vector.
A vector has both magnitude and direction, while a scalar only has magnitude. For example, velocity is a vector because it has both speed (magnitude) and direction, while speed is a scalar because it only has magnitude.
Some real-life examples of vectors include the force applied by a person pushing a box, the velocity of a car traveling on a curved road, and the displacement of a bird flying in a specific direction.