UnitVector Command

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UnitVector[ <Vector> ]
Yields a vector with length 1, which has the same direction and orientation as the given vector. The vector must be defined first.
Example:
Let v=\begin{pmatrix}3\\4\end{pmatrix}. UnitVector[v] yields \begin{pmatrix}0.6\\0.8\end{pmatrix}.
UnitVector[ <Line> ]
Yields the direction vector of the given line with length 1.
Example:
UnitVector[3x + 4y = 5] yields \begin{pmatrix}0.8\\-0.6\end{pmatrix}.
UnitVector[ <Segment> ]
Yields the direction vector of the given segment with length 1.
Example:
Let s = Segment[(1,1),(4,5)].
UnitVector[s] yields \begin{pmatrix}0.6\\0.8\end{pmatrix}.


Note Hint: In the Menu view cas.svg CAS View three-dimensional vectors and vectors with undefined variables are also valid inputs.
Examples:
  • UnitVector[(a, b)] yields (\frac{a}{\sqrt{a a + b b}}, \frac{b}{\sqrt{a a + b b}}).
  • UnitVector[(2, 4, 4)] yields (\frac{1}{3}, \frac{2}{3}, \frac{2}{3}).
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