Question

Let u = <5, 6>, v = <-2, -6>. Find -2u + 5v.

Answer 1

If you are multiplying into a vector, do it like you would any other form of distribution.  -2<5,6> = <-10,-12>.  5<-2,-6> = <-10,-30>.  Now add those together: <-10,-12>+<-10,-30> = <(-10+-10),(-12+-30)> = <-20,-42>  That last bracketed pair that's bolded is your answer.

Answer 2

Answer:

Value of -2u+5v is:

<-20,-42>

Step-by-step explanation:

We are given:

u = <5, 6> and  v = <-2, -6>

We have to find the value of -2u+5v

-2u+5v= -2 <5, 6> +5 <-2, -6>

          = <-10,-12>+<-10,-30>

          = <-10-10,-12-30>

          = <-20,-42>

Hence, Value of -2u+5v is:

<-20,-42>