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Sladkaya [172]
3 years ago
6

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

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0
\bf \begin{cases}&#10;u = \ \textless \ 5, 6\ \textgreater \ \qquad &-2u\to -2\ \textless \ 5,6\ \textgreater \ \\&#10;&\qquad \boxed{\ \textless \ -10,-12\ \textgreater \ }\\&#10;v = \ \textless \ -2, -6\ \textgreater \ \qquad &5v\to 5\ \textless \ -2,-6\ \textgreater \ \\&#10;&\qquad \boxed{\ \textless \ -10,-30\ \textgreater \ }&#10;\end{cases}

scalar multiplication, now, add them up
Jobisdone [24]3 years ago
7 0

Answer:

<-20 , -42>

Step-by-step explanation:

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

To find -2u + 5v, we use scalar multiplication

Multiply -2 with vector u

u = <5, 6>, -2u = -2<5,6> = <-10, -12>

v = <-2, -6>, 5v=5<-2, -6> = <-10, -30>

Now we do -2u + 5v

Add both the vectors we got

<-10, -12> + <-10, -30>

<-10+-10, -12-30>

<-20 , -42>

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