A plane passes through the point `(1,-2,5)` and is perpendicular to the line joining the origin to the point `3 hat i+ hat j- hat kdot` Find the vector and Cartesian forms of the equation of the plane.

Explanation

Let the position vector of this point Q be

`a=i-2j+5k`

So,

n=position of P-posiion of O

`n=(3i+j-k)-(0i+0j+0k)`

`n=(3i+j-k)--->(i)`

We know that vector equation of a plane passing through point a and
perpendicular/normal to the vector n is given by
`(r−a).n=0 `

Substituting the values we get
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