Geometric Transformations
Let u = (-3,4), v = (2,3), and w = (4, -1). Write each resulting vector in component form and find the magnitude.
38.3u
3u = 3(-3,4)
=3(-3), 3(4))
=( -6, 12)
Magnitude
||3u||=root(-6)^2 + 12^2
=root 19/-4

39.1/2v+ 3u
1/2=1/2(2,3) + 3(-3,4)
=1/2(2), 1/2(3))
=( 1, 1 ½ )
Magnitude
||1/2v||=root (1)^2 + (1 ½)^2
=root 1, 2.25 + 19/-4
=root -1.5

Question

Geometric Transformations
Let u = (-3,4), v = (2,3), and w = (4, -1). Write each resulting vector in component form and find the magnitude. 
38.3u
3u = 3(-3,4)
     =3(-3), 3(4))
     =( -6, 12)
Magnitude
||3u||=root(-6)^2 + 12^2
         =root  19/-4


39.1/2v+ 3u
1/2=1/2(2,3)        +       3(-3,4)
     =1/2(2), 1/2(3))
     =( 1, 1 ½ )
Magnitude
||1/2v||=root (1)^2 + (1 ½)^2 
          =root 1, 2.25 +  19/-4
          =root -1.5