Find the distance from the origin to the plane ` vec{r}.( vec{2i}+ vec{j}+ vec{5j})=7`

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Q 1401580428.     Find the distance from the origin to the plane ` vec{r}.( vec{2i}+ vec{j}+ vec{5j})=7`
A

`frac{5}{ sqrt{30}}` units.

B

`frac{9}{ sqrt{30}}` units.

C

` frac{7}{ sqrt{30}}` units.

D

`frac{3}{ sqrt{30}}` units.

HINT

The equation of the plane `vec r.(2 vec i- vec j+5 vec k)=7` is of the form `vec r. vec n=q` `vec n = 2 vec i - vec j + 5 vec k , q=7` The perpendicular distance from the origin to the plane is `p= frac{|q|}{| vec n |}`

Solution
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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