Question

1. Find u, if u= (1-3) (1 point) . O (1, -1) o (4-1) O (3,-9) O (1.-9)

Answer 1

Remember the following formula for the scalar multiplication of a number times a vector.

Let v be a vector such that v = (a,b), and let k be a real number. Then:

`k\vec{v}=k(a,b)=(ka,kb)`

If u=(1,-3), then:

`\begin{gathered} (1)/(3)\vec{u}=(1)/(3)(1,-3) \\ =((1)/(3)*1,(1)/(3)*-3) \\ =((1)/(3),-1) \end{gathered}`

Therefore, the answer is option B:

`((1)/(3),-1)`