Snagged a little on some vector math

  • Thread starter whiterabbit9
  • Start date
  • Tags
    Vector
In summary, vector math is a branch of mathematics that deals with mathematical operations involving vectors, which are quantities that have both magnitude and direction. It is used in fields such as physics, engineering, and computer science to represent and analyze physical quantities. The basic principles of vector math include properties of addition and multiplication, as well as the use of trigonometric functions. There are different types of vectors, such as position, displacement, velocity, and acceleration vectors. To improve understanding, regular practice and seeking out resources or help from a tutor can be beneficial.
  • #1
whiterabbit9
1
0
I'm learning how to calculate E-fields and, in some examples, when using the unit vector r^ with only one component (ie r^x or r^y), it is simply defined r^x=x/r. I am missing the algebra. Will anyone explain this to me? Thanks
 
Physics news on Phys.org
  • #2
Bei definition the radial unit vector ist [itex]\hat{r}=\vec{r}/r[/itex]. In Cartesian coordinates, you have [itex]\hat{r}=(x/r,y/r,z/r)[/itex] with [itex]r=\sqrt{x^2+y^2+z^2}[/itex].
 

FAQ: Snagged a little on some vector math

What is vector math?

Vector math is a branch of mathematics that deals with mathematical operations involving vectors, which are quantities that have both magnitude and direction. Some common operations in vector math include addition, subtraction, multiplication, and division.

How is vector math used in science?

Vector math is used in various fields of science, including physics, engineering, and computer science. It is used to represent physical quantities such as force, velocity, and acceleration, and to analyze and solve problems involving these quantities.

What are the basic principles of vector math?

The basic principles of vector math include the commutative and associative properties of addition, the distributive property of multiplication, and the Pythagorean theorem for finding the magnitude of a vector. Additionally, vector math involves using trigonometric functions to determine the direction of a vector.

What are the different types of vectors?

There are several types of vectors, including position vectors, displacement vectors, velocity vectors, and acceleration vectors. These vectors differ in terms of what they represent and how they are used in calculations.

How can I improve my understanding of vector math?

To improve your understanding of vector math, it is important to practice regularly and work through a variety of problems. You can also seek out resources such as textbooks, online tutorials, and practice quizzes to help reinforce your understanding. Additionally, seeking help from a tutor or teacher can also be beneficial.

Back
Top