Question

question
the vector $overrightarrow{cd}$ has initial point $c(1, - 6)$ and position vector $langle1,3
angle$. what is the terminal point $d$? give your answer as an ordered pair $(x,y)$.
provide your answer below:

Explanation:

Step1: Recall vector - terminal point formula

If a vector $\overrightarrow{CD}$ has initial point $C(x_1,y_1)$ and position vector $\langle a,b
angle$, the terminal point $D(x_2,y_2)$ is given by $(x_2,y_2)=(x_1 + a,y_1 + b)$.

Step2: Identify values of $x_1,y_1,a,b$

Here, $x_1 = 1,y_1=-6,a = 1,b = 3$.

Step3: Calculate the coordinates of $D$

$x_2=x_1 + a=1 + 1=2$; $y_2=y_1 + b=-6+3=-3$.

Answer:

$(2,-3)$