If the vectors `3 hat i-2 hat j-4 hat k\ a n d\ 18 hat i-12 hat j-m hat k` are palrallel find the value of `mdot`

Explanation

The given vectors are parallel.


Hence, ` 3 hat{i}-2 hat{j}-4 hat{k}=t(18 hat{i}-12 hat{j}-m hat{k})`


`Rightarrow 3 hat{i}-2 hat{j}-4 hat{k}=18 t hat{i}-12 t hat{j}-t m hat{k}`


Compare both sides of equation,


`18 t=3,-12 t=-2,-4=-t m `


`Rightarrow t=frac{1}{6}`


Put the value of `m` in -4=-`t m,`


`-4=-m(frac{1}{6}) `


...