Question

Use the vectors u = i + 5j and v= -61 - 7j. Find 4v + 5u. Additional Materials eBook Vector Operations Learn by Example Submit Answer -/10 POINTS OSCAT1 10.8.512. 0/100 Submissions Used Use the given vectors to compute u + v, u - v, and 3u - 4v. u = (7,-5), v = (3, 4) U + V = u - v = 3u - 4 =

Answer 1

11 12 1 o u= i + 5j is in form of x i tyj where x = 1, y = 5 v=-6 i-t j is in form of xitys - where x=-6 y = -7. 4 V +54 54 (-63-7.j) + 5 (1 +5)) = -244-28j +54 +255 = -24 +51 - 28j +25 j. = -191-3j 4 + 5 u = -19 i z i is in form of x ity where x=-19, y=-3 Hence 4rt 5u - 19 i-3 i is rector forly P 4 V +5ua <-19 -37 is component form @ 4=<7,-5 , v= <3,47 u= 7 i- 5 j is in form of x it yj - where x= 7 y=-5 v=3ity is in form of xityj - where x=3 y=4 @urv = i-5+3i+4j = 71+34-5j +49 a loja 1 j = 10;-) Utv = 10 jajj's in form of ac i ty j where x = 10 yea] Hence U + V = 10 -j or <10,-1) u-v= (4 h - 5j)-(31 +4J) = 71-5j-3-4j u-v= 7 i 3 i-5j-u j = 4i-g j is in form - of xj ty j where x=4 , y=-g u-r = u igj or <4,-9> © 34-4V = 3(71-5j)-4(34+49) = 211-15; -12* - 16) 1 = 2 |-| 2 - 15 - 6 j = 9 - 310 3u-ur-gi-31 J is in form of xi ty j - where x=9 y=-3) Hence 3u-uragi- 31 jor za