Answer:
[tex]\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)[/tex]
Step-by-step explanation:
Vector Addition
We are given the points A=(1,3), B=(-4,5), C=(-2,10), D=(0,1). Find:
[tex]\overrightarrow{AB}+\overrightarrow{CD}[/tex]
First, find both vectors from the initial and final points:
[tex]\overrightarrow{AB}=(-4-1,5-3)=(-5,2)[/tex]
[tex]\overrightarrow{CD}=(0-(-2),1-10)=(2,-9)[/tex]
Now find the sum of both vector by adding the components separately:
[tex]\overrightarrow{AB}+\overrightarrow{CD}=(-5,2)+(2,-9)=(-3,-7)[/tex]
[tex]\boxed{\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)}[/tex]
