Determine the direction cosines of the unit vector perpendicular to the plane \(\vec{r} \cdot(2 \hat{\imath}-6 \hat{\jmath}-3 \hat{k})+1=0\) passing through the origin?

1
- 6/7, 3/7, 2/7
2
- 2/7, 6/7, 3/7
3
- 2/7, 3/7, 6/7
4
- 2/7, 3/7, - 6/7
5
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