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  1. Home
  2. 12th grade
  3. Trigonometry
  4. Exercise : Find the components of a vector from a graph

Find the components of a vector from a graph Trigonometry

Find the components of the following vectors.

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is 3 (from 1 to 4).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is 2 (from 2 to 4).
-

The components of the vector are \left(3{,}2\right).

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is -1 (from 3 to 2).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is 2 (from 2 to 4).
-

The components of the vector are \left(-1{,}2\right).

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is 0 (from 2 to 2).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is 4 (from 1 to 5).

The components of the vector are \left(0{,}4\right).

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is 1(from 1 to 2).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is -2 (from 4 to 2).
-

The components of the vector are \left(1,-2\right).

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is -1 (from 2 to 1).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is -2 (from 3 to 1).
-

The components of the vector are \left(-1,-2\right).

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is 2 (from 0 to 2).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is 0 (from 0 to 0).

The components of the vector are \left(2{,}0\right).

-
  • The x-component of the vector is the difference between the end point x-component and the initial point x-component, which is 0 (from 4 to 4).
  • The y-component of the vector is the difference between the end point y-component and the initial point y-component, which is -2 (from 4 to 2).

The components of the vector are \left(0,-2\right).

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See also
  • Course : Vectors
  • Exercise : Graph a vector knowing its components
  • Exercise : Determine whether two vectors are colinear using their components
  • Exercise : Determine to which condition a vector is colinear to a given vector
  • Exercise : Determine whether two vectors are orthogonal from their components
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