Suppose nonzero vectors e and f are orthogonal. Show that e and f are linearly independent.?

Question

Suppose nonzero vectors e and f are orthogonal. Show that e and f are linearly independent.

Answer 1

Suppose that e and f are linearly dependent. Then f=ke for some constant k≠0 (since f is nonzero). Since e≠0, ≠0, therefore = = k ≠ 0, which contradicts the orthogonality of e and f. Therefore e and f are linearly independent. Q.E.D.

Answer 2

i like them to loss of existence! I even have the completed container with all the seasons, and that i won't be in a position to lose interest of watch it returned and returned returned. i'm any such vast fan for extremely practically 8 years now. the 1st time I observed Phoebe speaking as a pigeon, I laughed so no longer consumer-friendly that I very practically peed on my pants. actually. :)