0
$\begingroup$

I am trying to solve a question that involves matrices and vectors. One part of the question uses the notation $v \times w,v,w$, where w and v are non-collinear vectors in $\mathbf{R}^{3}$.

I am confused by this notation - does $v \times w,v,w$ result in a 3 by 3 matrix with the column vectors $v \times w, v \times v$ and $v \times w$ next to each other? If not, what does it mean?

$\endgroup$
  • $\begingroup$ It just lists three vectors $v_1,v_2,v_3$, namely $v\times w,v,w$. $\endgroup$ – Dietrich Burde Nov 20 '17 at 20:26
  • $\begingroup$ I suppose that the notatin simply means that we have the three vectors $v$,$w$ and $v\times w$. $\endgroup$ – Emilio Novati Nov 20 '17 at 20:26
  • $\begingroup$ Can you provide the context of how this notation is used. I suspect it is exactly as Dietrich says (i.e. it is just listing three things). $\endgroup$ – Dave Nov 20 '17 at 20:48
  • $\begingroup$ @Dave It was in the context of finding the determinant of said matrix. I managed to work it out after the comments here, I can't believe I missed it before! Thanks. $\endgroup$ – Flose Nov 20 '17 at 21:21

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.