Q. 55.0( 1 Vote )

Show that the line whose vector equation is is parallel to the plane whose vector equation is Also, find the distance between them.

Answer :

We know that line and plane is parallel if

……(1)


Given, the equation of the line
and equation of plane is the


,


So, and


Now,


=


= 1 + 3 – 4 = 0


So, the line and the plane are parallel


We know that the distance (D) of a plane from a point is given by







We take the mod value


So,


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