Question

3i-2j+k can be written as linear combination of which of the following vectors?
a){(2,0,0,) (0,1,0,) ( 1,0,1)}
b){(3,0,0) (-2,0,0) (1,0,0)}
C){(3,2,1) (6,4,2) (-3,-2,-1)}
d) {(1,0,0) (0,1,0) (2,0,0)}

I got c) but I'm not sure if that's right bc idk if I did even did it right. Any help would be great:)))!

Answer 1

So, what did you do to arrive at (c)? I'll be happy to check whether it was correct.

You can be sure it's not B or D, since they both have all-zero k components.

Answer 2

I followed a tutorial on yt it used matrices but like I have not done that before so like I'm not even sure if I'm on the right track here.

And I was thinking it could be b){(3,0,0) (-2,0,0) (1,0,0)} but then wouldn't the -2 be like this:(0,-2,0)? Since it's -2j?
I'm sorry if this doesn't make sense, I'm sorta lost here