Question

Given vector u equals open angled bracket 8 comma negative 6 close angled bracket and vector v equals open angled bracket negative 5 comma 2 close angled bracket comma what is v − u?

Answer 1

<-13, 8>

Explanation:

Given vectors u and v below:

`\begin{gathered} u=\langle8,-6\rangle \\ v=\langle-5,2\rangle \end{gathered}`

In order to evaluate v-u, subtract the corresponding elements as follows:

`\begin{gathered} v-u=\langle-5,2\rangle-\langle8,-6\rangle \\ =\langle-5-8,2-(-6)\rangle \\ =\langle-13,2+6\rangle \\ v-u=\langle-13,8\rangle \end{gathered}`

The third option is correct.