Question

Vector v has an initial point at (9, 3) and a terminal point at (16, 12). Which of the following represents the linear form of v?

Answer 1

The coordinate of the initial point is given below as

`(x_1,y_1)\Rightarrow(9,3)`

The coordinate of the terminal point is

`(x_2,y_2)\Rightarrow(16,12)`

Concept:

The formula below will be used to calculate a linear form of v

`\Rightarrow(x_2-x_1)i+(y_2-y_1)j_{}`

By substituting the values, we will have

`\begin{gathered} \Rightarrow(x_2-x_1)i+(y_2-y_1)j_{} \\ \Rightarrow(16-9)i+(12-3)j \\ \Rightarrow7i+9j \end{gathered}`

Hence,

The final answer is

`v=7i+9j`

The FIRST OPTION is the right answer