Vectors - Scalar equation of a plane/symmetric equation of a plane problem
Hey, thanks for coming into my thread!
I have a problem involving vectors that I do not know how to start solving.
Find the value of k for which the plane is parallel to the line .
I know that (k, 4, 2) will be perpendicular to a direction vector on the plane given in the symmetric equation.
Rearranging the symmetric equation gives me:
Which I believe gives me a direction vector on that plane of: (5, 1, -3).
With this information, how can I find the value of k? If I had a second direction vector of the parallel plane I could do a cross product, so is it possible to find that?