3-vectors, also known as three-dimensional vectors, are mathematical objects that have a magnitude and direction in three-dimensional space. They are typically represented by a set of three numbers or coordinates.
3-vectors have both magnitude and direction, while scalars only have magnitude. This means that 3-vectors can be visualized as arrows in three-dimensional space, while scalars can only be represented by a single number.
Yes, 3-vectors can be added or subtracted. This operation is known as vector addition or subtraction, and it involves adding or subtracting the corresponding components of the vectors.
The dot product of 3-vectors is a mathematical operation that results in a scalar value. It is calculated by multiplying the corresponding components of the vectors and then adding them together.
In physics, 3-vectors are used to describe physical quantities that have both magnitude and direction, such as velocity, acceleration, and force. They are also used in geometric and vector-based calculations in many areas of physics, including mechanics, electromagnetism, and quantum mechanics.