# Thread: Vector parallel to plane? Goes through origin?

1. ## Vector parallel to plane? Goes through origin?

Can someone please tell me how to answer this question?
My Algebra is not good so please in simple language.

http://i53.tinypic.com/6jj4hf.png
(didn't let me insert the image)

2. Why not just write it in? It's not that difficult. The given vector is <5, -24, 50> and the plane is [tex]x= \lambda<4, 5, 2>+ \mu<-5, 5, 3>+ <5, 2, -2>.

Is the vector parallel to the plane? Are there values for $\lambda$ and $\mu$ such that $\lambda<4, 5, 2>+ \mu<-5, 5, 3>= <5, -24, 50>$?

Is the vector in the plane? What does that mean? A vector is "movable" and does not actually lie in any plane. Are you interpreting <5,-24,50> as the vector from (0, 0, 0) to (5, -24, 50)? If so are there values for $\lambda$ and $\mu$ such that $\lambda<4, 5, 2>+ \mu<-5, 5, 3>= <5, -24, 50>$ and are there values for $\lambda$ and $\mu$ such that $\lambda<4, 5, 2>+ \mu<-5, 5, 3>= <0, 0, 0>$?