Which of the following vector is equally inclined with the coordinate axes?

We know that a vector is equally inclined with the coordinate axes if its direction cosines are equal.

Now, let $\overrightarrow{a}=4\hat{i}+4\hat{j}+4\hat{k}$

The direction ratios are $a=4, b=4, c=4$

And $\left|\overrightarrow{a}\right|=\sqrt{4^2+4^2+4^2}=4\sqrt{3}$

The direction cosines of $\overrightarrow{a}$ are $\left(\frac{a}{\left|\overrightarrow{a}\right|}, \frac{b}{\left|\overrightarrow{a}\right|}, \frac{c}{\left|\overrightarrow{a}\right|}\right)$

$=\left(\frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}, \frac{1}{\sqrt{3}}\right)$

Since the direction cosines are equal, the vector $4\widehat{i}+4\widehat{j}+4\widehat{k}$ is equally inclined with the coordinate axes.