Find the component form of the resultant vector.

Question

asked Mar 4, 2021 181k views

1 Answer

Rsethc · Answer 1 · 2021-03-11T03:17:14+0000

Answer:

$\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)$

Explanation:

Vector Addition

We are given the points A=(1,3), B=(-4,5), C=(-2,10), D=(0,1). Find:

$\overrightarrow{AB}+\overrightarrow{CD}$

First, find both vectors from the initial and final points:

$\overrightarrow{AB}=(-4-1,5-3)=(-5,2)$

$\overrightarrow{CD}=(0-(-2),1-10)=(2,-9)$

Now find the sum of both vector by adding the components separately:

$\overrightarrow{AB}+\overrightarrow{CD}=(-5,2)+(2,-9)=(-3,-7)$

$\boxed{\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)}$