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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