Find the vector equation of the plane which is at a distance of ( frac{7}{ sqrt{38}} ) from the origin and the normal vector from origin is (2 hat{i}+3 hat{j}-5 hat{k} )?

• A. ( vec{r}.( frac{2 hat{i}}{38}+ frac{3 hat{j}}{ sqrt{38}}- frac{5 hat{k}}{ sqrt{38}})= frac{7}{ sqrt{56}} )
• B. ( vec{r}.( frac{2 hat{i}}{ sqrt{38}}+ frac{3 hat{j}}{ sqrt{38}}- frac{5 hat{k}}{ sqrt{38}})= frac{7}{ sqrt{38}} )
• C. ( vec{r}.( frac{2 hat{i}}{ sqrt{38}}+ frac{5 hat{j}}{ sqrt{38}}+ frac{3 hat{k}}{ sqrt{38}})= frac{7}{ sqrt{38}} )
• D. ( vec{r}.( frac{2 hat{i}}{ sqrt{58}}- frac{3 hat{j}}{ sqrt{37}}- frac{5 hat{k}}{ sqrt{38}})= frac{7}{ sqrt{38}} )