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If O be the origin and the coordinates o...

If O be the origin and the coordinates of P be (1,2,-3) then find the equation of of the plane passing through P and perpendicular to OP.

Text Solution

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The correct Answer is:
`x+2y-3z-14=0`
Let the required equation of the plane passing through the point A(1,2-3) be Since the plane is perpendicular to OP, so the normal to the plane is parallel to OP.
`therefore a/1=b/2=c/-3=k` (say) `rArr a=k,b=2k` and `c=-3k`.
`therefore` required equation of the plane is `k(x-1)+2k(y-2)-3k(z+3)=0`.
`rArr (x-1)+2(y-2)-3(z+3)=0`.
`rArr (x+2y-3z)+(-1-4-9)=0`.
`rArr x+2y-3z-14=0`.
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