Negative Vectors

Negative Vectors

Secondary 4

A negative vector has the same magnitude but opposite direction to the reference vector.

• \(\overrightarrow{CD}\) is the negative of \(\overrightarrow{DC}\).

• \(-\mathbf{a}\) is the negative of \(\mathbf{a}\).

• \(\begin{pmatrix} -p \\ -q \end{pmatrix}\) is the negative of \(\begin{pmatrix} p \\ q \end{pmatrix}\).

• \(\overrightarrow{CD}\) is a vector that has the same magnitude as \(\overrightarrow{DC}\) but has direction opposite to that of \(\overrightarrow{DC}\).

\(\overrightarrow{CD} = -\overrightarrow{DC} \text{ or}\hspace{0.5em} \overrightarrow{DC} = -\overrightarrow{CD} \text{}\)

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