Vector Addition using coordinates

  • Thread starter jumbogala
  • Start date
  • #1
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Homework Statement


You have a vector, labelled A, with the coordinates (2,1,1). Subtract vector B, coordinates (3,-1,4) from vector A.


Homework Equations


Take vector A, and flip vector B in the opposite direction. Line up vector B's tip to vector A's tail, and draw the new vector from tail to tip.

What I am unsure about are those 3 coordinates. I have only learned in class to use two coordinates. What does the third one mean?


The Attempt at a Solution


I'm guessing that one number is the x-component, and that one is the y-component. I have no idea what the third one would be, however. Also, I have no idea what order they are in!!
 

Answers and Replies

  • #2
Kurdt
Staff Emeritus
Science Advisor
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The third number is the z-component. They are always written in the order (x, y, z). In this context they are called the components of the vector. To add vectors given their components, just add x-components, to give the resultant vector x-component, the y-components to give the resultant vector y-component.... etc.
 

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