I got stuck on a few questions for a linear algebra assignment...

1. Show that there exists scalars c1, c2, and c3, not all 0, such that c1(-2,9,6) + c2(-3,2,1) + c3(1,7,5) = (0,0,0)

2. a) If v = (3,7) is a vector in the xy-coordinate system, what are the components of v in the x1y1-coordinate system?

b) If v = (v1v2) is a vector in the xy-coordinate system, what are the components of v in the x1y1-coordinate system?

This kind of math is new to me this year