Find all vectors v = (x, y, z) orthogonal to both
$u_1$ = (2, -1, 3)
$u_2$ = (0, 0, 0)
I'm not sure how to get to the answer of s(1, 2, 0) + t(0, 3, 1). I know how to find a vector orthogonal to just 1, getting confused with the both part.
[Math] find all vectors orthogonal to both:
linear algebra
Best Answer
What vectors are perpendicular to the zero vector? By definition al vectors z whose scalar product with the zero vector equals zero:
How do you chose $a,b,c$ s.t. $0a+0b+0c=0$?
Right, you can chose what you want!
So the question reads: find all vectors orthogonal to $(2,-1,3)$.
Does that help you? :)