Question

Vector v has an initial point at (7, 6) and a terminal point at (−11, 16). What is negative one half times vector v question mark

Answer 1

The initial point of the vector is

`\begin{gathered} (7,6) \\ (x_1,y_1) \end{gathered}`

The terminal point of a vector is

`\begin{gathered} (-11,16) \\ (x_2,y_2) \end{gathered}`

Concept:

`v=(x_2-x_1),(y_2-y_1)`

By substituting the values, we will have

`\begin{gathered} v=(x_2-x_1),(y_2-y_1) \\ v=(-11-7),(16-6) \\ v=(-18,10) \end{gathered}`

We are asked to evaluate

`-(1)/(2)v`
`\begin{gathered} -(1)/(2)v=-(1)/(2)(-18,10) \\ =-(1)/(2)*-18,-(1)/(2)*10 \\ =(18)/(2),-(10)/(2) \\ =(9,-5) \end{gathered}`

Hence,

The final answer is

`(9,-5)`

The FIRST OPTION is the right answer