Which of the following denotes the correct vector artithmetic ?

Options

A. `vec(x)+vec(y)=vec(z)`
B. `vec(y)+vec(z)=vec(x)`
C. `vec(x)+vec(z)=vec(y)`
D. `vec(z)-vec(x)=vec(y)`

Answer

C

Explanation

The head of `vec(x)` touching the tail of `vec(z)`, so those are the two vectors being added. The result is `vec(y)` because it then connects the tail of `vec(x)` to the head of `vec(z)`. Therefore,
`vec(x)+vec(z)=vec(y)`