Answer:
[tex]<3,-2>[/tex]
Step-by-step explanation:
Check for each vector
[tex]u=<3,-2>\\4u=<12,-8>\\||4u||=\sqrt{12^2+8^2}\\=\sqrt{208} \\=14.42[/tex]
Hence this is the required vector.
[tex]u=<-1,4>\\4u=<-4,16>\\||4u||=\sqrt{4^2+16^2}=16.49[/tex]
[tex]u=<2,2>\\4u=<8,8>\\||4u||=\sqrt{8^2+8^2}=11.31[/tex]
[tex]u=<-2,4>\\4u=<-8,16>\\||4u||=\sqrt{8^2+16^2}=17.889[/tex]
Hence required vector [tex]=<3,-2>[/tex]
