Hi , not sure if vectors falls under this category , but what are you going to do I just need someone to explain this question for me step by step if you have time . I'm Gavin quite a hard time with it :/
"The vectors a and b span two space . For what values of m is it true that (m^2+2m-3)a + (m^2+m-6) = 0
*note that it is a 0 vector. I imagine this'd and they have to cancel each other out some how but I don't know how ....
""The vectors a and b span two space . For what values of m is it true that (m^2+2m-3)a + (m^2+m-6) = 0?"
You are told that it spans "two space". What makes you think "it should span 3 space"?
m, and so m^2+ 2m- 3 and m^2+ m- 6, are numbers and a and b are vectors. What did you think a "vector plus a number" could mean?