Question

Show that the vectors u = (1, −1, 1), v = (3, 3, 2) and w = (10, 2, 8) lie in the same plane?

Answer 1

find the plane

Answer 2

and are these vectors they should be denoted with <1,-1,1>

Answer 3

yeah but how, cause I dont have teh points

Answer 4

yeah they are vectors, that is just our denotation I think

Answer 5

alright i had to look this up to make sure but you can use the triple scalar product to prove that they are coplanar ....

Answer 6

if u*(v x w) = 0 they are coplanar

Answer 7

ah that makes sense, btw I tried googling it and I didnt find anything helpful. Thanks!

Answer 8

yeah well when you said they were not points i had to go back into my book to see what you could use to make it show... first thing that came up was if volume =0 so i checked to make sure

Answer 9

and volume is measured by the triple scalar

Answer 10

Anyways if you run into trouble let me know... it comes out 0 so