Answer
To sketch the vector $a+b$, we can sketch the vector $a$ and the vector $b$ so that their initial points coincide. Then we can complete the parallelogram. The resultant vector through the middle of the parallelogram is the vector $a+b$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/8b114a7e-fe49-4f45-bee6-b3b15862988f/result_image/1526632029.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011039Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=d3552297495135b4d2b5b2cbdd83497893e9d788c71ae9d53a7280573506e73f)
Work Step by Step
To sketch the vector $a+b$, we can sketch the vector $a$ and the vector $b$ so that their initial points coincide. Then we can use another copy of the vector $a$ and the vector $b$ to complete the parallelogram. The resultant vector through the middle of the parallelogram is the vector $a+b$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/8b114a7e-fe49-4f45-bee6-b3b15862988f/steps_image/small_1526632029.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011039Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=70ce1ba7b462f687596322af853a973093803d71b5eeb25fbd8fdf1a1512dbb1)