the vector v with initial point (0, 0) is shown below. write v in the form v = a i + b j, where a and b are…

the vector v with initial point (0, 0) is shown below. write v in the form v = a i + b j, where a and b are integers.

the vector v with initial point (0, 0) is shown below. write v in the form v = a i + b j, where a and b are integers.

Answer

Answer:

$-3\mathbf{i}+3\mathbf{j}$

Explanation:

Step1: Determine x - component

The vector starts at $(0,0)$ and ends at $(- 3,3)$. The change in the $x$ - direction (the coefficient of $\mathbf{i}$) is found by subtracting the $x$ - coordinate of the initial point from the $x$ - coordinate of the terminal point. So, $a=-3 - 0=-3$.

Step2: Determine y - component

The change in the $y$ - direction (the coefficient of $\mathbf{j}$) is found by subtracting the $y$ - coordinate of the initial point from the $y$ - coordinate of the terminal point. So, $b = 3-0 = 3$.