Consider the vector
Find a basis of the subspace of R^4 consisting of all vectors perpendicular to .
I'm not very sure about how to solve this problem. I assume that I need to find a set of vectors for which the case holds.
I tried using the formula,
Since I already know , I would just need to figure out . To do this, I used projection.
This is where I get stuck, because I'm LOOKING for the u vectors... correct?
Am I far off the path I should be on here or am I on the right track?
Any help is greatly appreciated. Thanks for reading.