{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

vector_components

# vector_components - Vector Components When you want to...

This preview shows pages 1–2. Sign up to view the full content.

Vector Components When you want to manipulate vectors, one of the most common ways is to use compo- nents. In two dimensions, we commonly use the symbols ˆ ı and ˆ to represent unit vectors (dimensionless) pointing along the x - and y -axes, then any other vector in the plane can be represented in terms of them as a sum such as F = F x ˆ ı + F y ˆ , where F x and F y are the two components of the vector F . Notice that the components are not themselves vectors! Because the unit vectors are at right angles to each other, it’s straight-forward to find the components of a vector by using a bit of trigonometry. If the picture is oriented in the way you expect, with the axes pointing left-right and up-down, it’s usually easy to find a right triangle and to use the definition of the sine and cosine to get the components. Often however, the picture isn’t set up the way you expect and you have to be more careful in finding the appropriate right triangle.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern