Finding terminal points for vector

I have a problem on vector.

Vectors $$\vec a= (2, 4) ,\vec b = (−1, 2),$$ and $$\vec c = (c_1, c_2)$$ all have the initial point at the origin, what are the coordinates of their terminal points?

Can you direct me on how to find terminal points for vector $$\vec c$$? Thanks. Aaron

• Vectors don’t have “initial” and “terminal” points—they have magnitude and direction. It’s line segments that have two points. – Chase Ryan Taylor Jun 12 at 16:27

It works the same as with $$\vec{a}$$ and $$\vec{b}$$: the $$x$$-component of the vector tells you by how much you move on the $$x$$-axis, and the $$y$$-component tells you by how much you move on the $$y$$-axis. Since you start from the origin, that should tell you the answer.
If it doesn't, try with other examples of $$c_1$$ and $$c_2$$ and you'll see :)
• Yes it is. For $\vec{a}$, you move $2$ units on the $x$-axis, and 4 on the $y$-axis. So you land on $(2,4)$. Same with $\vec{c}$: you move $c_1$ units on the $x$-axis and $c_2$ units on the right axis, so you land on $(c_1,c_2)$. – Arthur Jun 12 at 16:09