Answer
We can first use the vector $b$ and the vector $c$ to sketch the vector $b+c$. Then we can use the vector $a$ and the vector $b+c$ to make a parallelogram. The resultant vector through the middle of the parallelogram is the vector $a+(b+c)$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/61639333-bddd-47f8-97a4-3404782ad30c/result_image/1526713447.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014823Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=f94d9bca701d753a6bd689366b0bc2dc6ebda017371c7832914346ec6bb3742d)
Work Step by Step
To sketch the vector $a+(b+c)$, we can first use the vector $b$ and the vector $c$ to sketch the vector $b+c$. Then we can use the vector $a$ and the vector $b+c$ so that their initial points coincide. Then we can use another copy of the vector $a$ and the vector $b+c$ to complete the parallelogram. The resultant vector through the middle of the parallelogram is the vector $a+(b+c)$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/61639333-bddd-47f8-97a4-3404782ad30c/steps_image/small_1526713447.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014823Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=431b0687299f1b76bbad9357c397c312cc25f408aa4ae1c762e7ec39a7e8865f)