Writhe the projections of ` vec r=3 hat i-4 hat j+12 hat k` ion the coordinate axes.

Explanation

Given: `vec{r}=3 hat{i}-4 hat{j}+12 hat{k}`


Projection of `vec{r}` on x-axis =`frac{vec{r} cdot hat{i}}{|hat{i}|}=frac{3}{1}=3`


Projection of `vec{r}` on y-axis =`frac{vec{r} cdot hat{j}}{|hat{j}|}=frac{-4}{1}=-4`


Projection of `vec{r}` on z-axis =`frac{vec{r} cdot hat{k}}{|hat{i}|}=frac{12}{1}=12`