shemer77 said:Homework Statement
Here is the problem and solution but I am confused as to part B
http://gyazo.com/e77d05fc67cb6ac266ff021ef88052dcThe Attempt at a Solution
I understand the first part, but I am totally lost on how they reached their cartesian answer for part B. Firstly why did they do what they did, and secondly where did 36 degrees come from?
I feel like their is some sort of equation or something I am not understanding.
shemer77 said:Hmm ok but why does he have .5 twice as in .5(ap.ax)ax +.5(ap.ax)ay?
A vector field is a mathematical concept that represents a vector quantity at every point in space. It can be visualized as arrows or lines that indicate the direction and magnitude of a vector at each point.
To convert a vector field to cartesian coordinates, you need to determine the x, y, and z components of the vector at each point in space. This can be done using mathematical equations and techniques such as gradient, divergence, and curl.
The conversion of a vector field to cartesian coordinates has many real-world applications in fields such as physics, engineering, and computer graphics. It is used to analyze and visualize vector quantities such as force, velocity, and electric fields.
Converting a vector field to cartesian coordinates can be challenging because it requires a solid understanding of vector calculus and mathematical techniques. It can also be time-consuming and computationally intensive, especially for complex vector fields.
Yes, there are various software and programming libraries that can assist with the conversion of vector fields to cartesian coordinates. These include MATLAB, Mathematica, and Python libraries such as NumPy and SciPy.