#### The distance of the point (1, 3, −7) from the plane passing through the point (1, −1, −1), having normal perpendicularto both the lines   and is:   Option 1) Option 2) Option 3) Option 4)

As we learnt in

Distance of a point from plane (Cartesian form) -

The length of perpendicular from to the plane

is given by

-

Normal vector of Plane=

=

Equation of plane is of the form

With Point (1,-1,-1) we get

5-7-3=C=-5

So plane is 5x+7y+3y+5=0

distance from (1,3,-7) is

Option 1)

This option is correct

Option 2)

This option is incorrect

Option 3)

This option is incorrect

Option 4)

This option is incorrect

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