This appears to be a continuation of a previous question. I was reluctant to try to answer because the way you posted it shows some real confusion in concepts.

First, is aline.

Second, is aplaneprovided that the vectors are independent, (i.e. they are not parallel, that is they are not multiples of each other).

Note that if then .

Thus, you are correct both planes contain the line .

But note that you must pick vectors that are independent of the direction vector.