Question

Find a unit vector in the direction of A unit vector in the direction of the given vector is (Type an exact answer, using radicals as needed.)

Answer 1

u =

find the norm of a given vector

4 12 3

16 Ju 12 9

16 Ju 1 9

IO

169 Ju 9

/25 9

V25 V9

u

.

the unit vector in direction of u is given by

.

u u

$u'= \frac{\begin{pmatrix}\frac{4}{3}\\ 1\end{pmatrix}}{\frac{5}{3}}$

$u'= \frac{3}{5}\begin{pmatrix}\frac{4}{3}\\ 1\end{pmatrix}$

$u'= \begin{pmatrix}\frac{3}{5}\cdot \frac{4}{3}\\ \frac{3}{5}\cdot \:1\end{pmatrix}$

${\color{Red} u'= \begin{pmatrix}\frac{4}{5}\\ \frac{3}{5}\end{pmatrix}}$

or type

lu