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

Value of -2u+5v is:

<-20,-42>

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>