Let u=<3,1> and v=<-2,6>. Find u-3v. Find |u+v|.

Answer 1

Hey! Lets solve this shall we ?

Let the first expression of u - 3v also equal u + [-3v]. Then,

= u - 3v

= u + [-3v]

= <3,1> + <6,-18>...................because -3v = -3<-2,6> = <6, -18> by the Distributive Property. Then add like terms

= <3+6, 1-18>

= <9, -17>

Now we must find |u+v| such that

| <3,1> + <-2,6> |

= |<3-2, 1+6> |

= <1, 7>

I hope this helped!