Add or subtract vectors, then plot the endpoint of your resultant from the origin.
Example 1
u=(−3,−1) and v=(2,−1). Plot the endpoint of u+v drawn from the origin.
Plot your answerShow worked answer
Answer: (−1,−2)
- Combine the x−components: −3+(2)=−1.
- Combine the y−components: −1+(−1)=−2.
- The resultant from the origin ends at (−1,−2).
Example 2
u=(1,3) and v=(−3,2). Plot the endpoint of u−v drawn from the origin.
Plot your answerShow worked answer
Answer: (4,1)
- Combine the x−components: 1−(−3)=4.
- Combine the y−components: 3−(2)=1.
- The resultant from the origin ends at (4,1).
Example 3
u=(−1,−3) and v=(−1,−2). Plot the endpoint of u+v drawn from the origin.
Plot your answerShow worked answer
Answer: (−2,−5)
- Combine the x−components: −1+(−1)=−2.
- Combine the y−components: −3+(−2)=−5.
- The resultant from the origin ends at (−2,−5).