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# vector

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how do i plug in the unit vector?

Guest Apr 19, 2017
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#1
+79786
+1

I assume that you're trying to generate a unit vector

If so.....let  u  =  < a, b >

The unit  vector is given by :

<    a / √[a^2 + b^2] ,  b / √{ a^2 + b^2 ]  >

CPhill  Apr 19, 2017
#2
+18777
+1

how do i plug in the unit vector?

Each unit vector has the length 1

$$\text{2D unit vector } \vec{v}_0 = \frac{\vec{v}}{v} \qquad \text{ with } \qquad \vec{v} = \binom {v_x}{v_y} \qquad \text{ and} \qquad v = \sqrt{v_x^2+v_y^2}$$

$$\text{3D unit vector } \vec{v}_0 = \frac{\vec{v}}{v} \qquad \text{ with } \qquad \vec{v} = \begin{pmatrix} v_x \\ v_y \\ v_z \end{pmatrix} \qquad \text{ and} \qquad v = \sqrt{v_x^2+v_y^2+v_z^2}$$

heureka  Apr 19, 2017

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