ind the component form of the indicated vector 26 Let u 44 v

ind the component form of the indicated vector. 26) Let u =(-4,4), v =(-3,-1). Find-4u + 2v. B) (10,3) A) (22,-14) c) (28,-12 D) (10,-1 @tet u =(-1,.3), v = (4. \" Find-u-v. B) (5.5) tor v has the given magnitude and direction. Find the horizontal or vertical component of v, as indicated, it e is the direction angle of v from the horizontal. Round to the nearest tenth when necessary. 46.7e,MI-86.5; Find the horizontal component of v. A) 63 28) a B) 3.7 C) 122.3 D) 59.3

Solution

26) u = <-4,4> , v = <-3,-1>

=> -4u + 2v = -4<-4,4> + 2<-3,-1>

= <16,-16> + <-6,-2>

= <10,-18> (option D)

27) u = <-1,-3> , v = <4,2>

=> -u - v = -<-1,-3> - <4,2>

= <1,3> + <-4,-2>

= <-3,1> (option A)

28) horizontal component = 86.5cos46.7 = 59.3 (Option D)