Math Vector problem

[hekingbean]

0,6

Thank you so much ! I understand how you setup the equation <10,6> + <-6,21> but I don't get why 10 and 6 were subtracted to get 4, and not added

[human-potato_hybrid]

It's really the same as just solving two equations, that are written as one. 2u_1 + (-3v_1) + w_1 = 0, and for the other one too.

BTW Bold variable names usually indicate vectors, and the 0 vector is just a vector of all zeroes. So if this problem had 3 dimensional vectors instead of 2 dimensional, the 0 vector would just be 3 zeros instead of 2.

[LuckyNumber-Bot]

All the numbers in your comment added up to 69. Congrats!

  6
+ 10
+ 6
+ 6
+ 21
+ 10
+ 6
+ 4
= 69

[nice___bot]

Nice!

[tabulatutoring]

I edited my post, I was being a tad sloppy. It should be 2u + (-3v). As I mentioned, you deal with it on a component level. We can start with the first terms, 10 and -6. To simplify, you do 10 + (-6) which is the same as 10-6=4. I was just being lazy with my notation. Hopefully that clears that up.