Mark the correct alternative in the following:

The vector equation of the plane containing the line and the point is

The plane contains the line and the point

As, the plane contains the line,

so, the plane contains the point also.

On putting λ=1, we get another point on the plane which is i.e.

So, we got three points on the plane, they are, , and

Let,

and

So, and

Now, the normal of these two vectors i.e. and is,

The general equation of plane is,

7(x - 1) + 21(z - 3)=0

7x - 7 + 21z - 63=0

7x + 21z=70

x + 3z=10

or,

Hence, the vector equation of the plane containing the line and the point is .