Answer
direction-1 represent by the vector (2,-1,-2),
direction-2 represent by the vector (1,2,2)
Work Step by Step
Direction 1 represent the Equation representation of u,v and w
$u=n(\frac{x_{2}-x_{1}}{a})$
$v=n(\frac{-\frac{y_{2}}{2}-y_{1}}{b})$
$z=n(\frac{-z_{2}-z_{1}}{c})$
Let the value of n=2. Vector 1 starts from zero so $x_{1}=y_{1}=z_{1}=0$ and $a=0.4$,$b=0.5$and $c=0.3$
vector represent the x,y and z axis respectively
$u=2(\frac{0.4-0}{0.4})=2$
$v=2(\frac{\frac{-0.5}{2}-0}{0.5})=-1$
$z=2(\frac{{-0.3}-0}{0.3})=-2$
The point represent as ${2,-1,-2}$
Direction 2 represents Equation representation of u,v and w
$u=n(\frac{\frac{x_{2}}{2}-x_{1}}{a})$
$v=n(\frac{{y_{2}}-y_{1}}{b})$
$z=n(\frac{z_{2}-z_{1}}{c})$
Let the value of n=2. Vector 1 starts from zero so $x_{1}=y_{1}=z_{1}=0$ and $a=0.4$,$b=0.5$ and $c=0.3$
vector represent the x,y and z axis respectively
$u=2(\frac{\frac{0.4}{2}-0}{0.4})=1$
$v=2(\frac{{0.5}-0}{0.5})=2$
$z=2(\frac{{0.3}-0}{0.3})=2$
The point represent as ${1,2,2}$
