Question

Give an example of coplanar vectors (i.e. make up three coplanar vectors u , v and w ). Then, prove that u , v and w are coplanar vectors.

Answer 1

easy :)
let given u = [1, 2, 3], v = [2, 3, 4] and w = [7, 12, 17]
just shows, that w can represented as w = au + bv (with a, b are the constant)

prove :
w = 3[1, 2, 3] + 2[2, 3, 4]
w = [3, 6, 9] + [4, 6, 8]
w = [7, 12, 17]

in other words, it can represented w = 3u + 2v
so, it is coplanar

Answer 2

Thank you :) You are very helpful

Answer 3

glad could help u :)

Answer 4

Could you do the same for a non-coplanar one?

Answer 5

look at the previous one :)