# Math Insight

### Image: Adding two-dimensional vectors

A two-dimensional vector $\vc{b}=(b_1,b_2)$ is translated so that its tail is at the head of $\vc{a}=(a_1,a_2)$. The head of the sum $\vc{a}+\vc{b}$ is at the point $(a_1+b_1,a_2+b_2)$, illustrating how the coordinates of the sum are $\vc{a}+\vc{b} = (a_1+b_1,a_2+b_2)$.

Image file: vector_2d_add.png

Source image file: vector_2d_add.svg
Source image type: Inkscape SVG

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