# arrow_back What is the definition for Vector Subtraction?

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What is the definition for Vector Subtraction?

Vector Subtraction

The negative of a vector $\mathbf{v}$, denoted by $-\mathbf{v}$, is the vector that has the same length as $\mathbf{v}$ but is oppositely directed, and the difference of $\mathbf{v}$ from $\mathbf{w}$, denoted by $\mathbf{w}-\mathbf{v}$, is taken to be the sum
$$\mathbf{w}-\mathbf{v}=\mathbf{w}+(-\mathbf{v})$$

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