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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

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1 Answer

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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 :)

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