Question

Let u = <-8, -9>. Find 7u.

Answer 1

`\vec{u}= < -8;-9 >\\\\7\vec{u}= < 7\cdot(-8);\ 7\cdot(-9) > = < -56; -63 >`

Answer 2

7u = <-56, -63>

Explanation:

It is about a linear algebra problem, specifically a scalar multiplication one.

The procedure to solve it consists in multiplying the scalar number (in this case, the 7 number) by each of the components of the vector (in this case, the -8 and -9 numbers ).

`7u = 7<-8, -9>`

`7u = <7* (-8), 7* (-9)>`

`7u = <-56, -63>`

Thus,
`7u = <-56, -63>`