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?
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Answer:
The coordinate of the initial point is given below as
[tex](x_1,y_1)\Rightarrow(9,3)[/tex]The coordinate of the terminal point is
[tex](x_2,y_2)\Rightarrow(16,12)[/tex]Concept:
The formula below will be used to calculate a linear form of v
[tex]\Rightarrow(x_2-x_1)i+(y_2-y_1)j_{}[/tex]By substituting the values, we will have
[tex]\begin{gathered} \Rightarrow(x_2-x_1)i+(y_2-y_1)j_{} \\ \Rightarrow(16-9)i+(12-3)j \\ \Rightarrow7i+9j \end{gathered}[/tex]Hence,
The final answer is
[tex]v=7i+9j[/tex]The FIRST OPTION is the right answer