222k views
4 votes
What is the terminal point of the vector a = (2,4) based at P = (3, 4)?

User Boaz Nahum
by
4.8k points

1 Answer

4 votes

Answer: (5, 8)

Step-by-step explanation:

Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule
(x,y) \to (x+2,y+4)

In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)

What is the terminal point of the vector a = (2,4) based at P = (3, 4)?-example-1
User Chrisofspades
by
5.0k points