- #1
physicophysiology said:View attachment 228726
Would you explain this sentence in detail?
Thank you I understood itmfb said:More context would have been interesting.
While you could use equation 1.100 with complex numbers (the mathematics is fine) it doesn’t make sense in the context that we don’t see - only real values are meaningful.
Vector mathematics is a branch of mathematics that deals with quantities that have both magnitude and direction. It involves operations such as addition, subtraction, and multiplication on vectors in order to solve problems in physics, engineering, and other fields.
A vector is a quantity that has both magnitude and direction, while a scalar is a quantity that only has magnitude. For example, velocity is a vector because it has both speed and direction, while speed is a scalar because it only has magnitude.
Vector addition involves adding both the magnitude and direction of two or more vectors, while scalar addition only involves adding their magnitudes. Vector addition can also be visualized using the "head-to-tail" method, where the tail of one vector is placed at the head of the other vector, and the resulting vector connects the tail of the first vector to the head of the last vector.
The dot product is a mathematical operation that takes two vectors and returns a scalar. It is used to calculate the angle between two vectors, as well as to determine if two vectors are perpendicular or parallel. It also has many applications in physics and engineering, such as calculating work and power.
To improve your understanding of vector mathematics, it is important to practice solving problems and to familiarize yourself with the different properties and operations of vectors. You can also seek help from a tutor or join a study group to clarify any confusion or ask for further explanation on specific concepts.