M is a subset of R^n. We denote the set of vectors which are perpendicular to M as M* (ie each element of M* is perpendicular to each element of M).
(Question) In R^3, find M* where M={2i-j+2k,i-2j-2k}.
M is a subset of R^n. We denote the set of vectors which are perpendicular to M as M* (ie each element of M* is perpendicular to each element of M).
(Question) In R^3, find M* where M={2i-j+2k,i-2j-2k}.
Hello,
Do you know things about the cross product ?
Here, you have , where :
and
will be perpendicular to both u and v.
(the first coordinate was obtained by ignoring the line composed of the first coordinates of u and v, then we take the determinant of the remainder... etc for second and third)
So, unless I've made mistakes :