SOLUTION: Find |u|, |v|, |2u|, |1/2v|, |u+v|, |u-v| and |u|-|v|. u=<10,-1> v=<-2,2> Please help with this. Struggling to understand Vectors. Thank you

Algebra ->  Trigonometry-basics -> SOLUTION: Find |u|, |v|, |2u|, |1/2v|, |u+v|, |u-v| and |u|-|v|. u=<10,-1> v=<-2,2> Please help with this. Struggling to understand Vectors. Thank you      Log On


   

Question 861603: Find |u|, |v|, |2u|, |1/2v|, |u+v|, |u-v| and |u|-|v|.
u=<10,-1>
v=<-2,2>
Please help with this. Struggling to understand Vectors. Thank you
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28u%29=sqrt%2810%5E2%2B%28-1%29%5E2%29=sqrt%28101%29
abs%28v%29=sqrt%28%28-2%29%5E2%2B%282%29%5E2%29=sqrt%288%29=2sqrt%282%29
abs%282u%29=2abs%28u%29=2%2Asqrt%28101%29
abs%28%281%2F2%29u%29=%281%2F2%29abs%28u%29=sqrt%28101%29%2F2
u+v=(10-2,-1+2)=(8,1)
abs%28u%2Bv%29=sqrt%288%5E2%2B1%5E2%29=sqrt%2865%29
u-v=(10-(-2),-1-2)=(12,-3)
abs%28u-v%29=sqrt%2812%5E2%2B%28-3%29%5E2%29=sqrt%28153%29
abs%28u%29-abs%28v%29=sqrt%28101%29-2sqrt%282%29