Vector vec(AB) has an initial point (3,4), an x component of 5 , and a y component of 4 . Find the coordinates of the terminal point, B. B=(◻,◻)

Finding x-coordinate of terminal point: The x component of the vector vec(AB) represents the horizontal change from the initial point to the terminal point. Since the x component is 5, we add this to the x-coordinate of the initial point to find the x-coordinate of the terminal point. 3 (initial x-coordinate) + 5 (x component) = 8Finding y-coordinate of terminal point: The y component of the vector vec(AB) represents the vertical change from the initial point to the terminal point. Since the y component is 4, we add this to the y-coordinate of the initial point to find the y-coordinate of the terminal point. 4 (initial y-coordinate) + 4 (y component) = 8Coordinates of terminal point B: Combining the results from the previous steps, we find that the coordinates of the terminal point B are (8, 8).

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Vector
vec(AB) has an initial point
(3,4), an
x component of 5 , and a
y component of 4 .
Find the coordinates of the terminal point,
B.

B=(◻,◻)

Vector $\overrightarrow{A B}$ has an initial point $(3,4)$ , an $x$ component of $5$ , and a $y$ component of $4$ . $\newline$ Find the coordinates of the terminal point, $B$ . $\newline$ $B=(\square, \square)$

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Algebra 2

Write equations of cosine functions using properties

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Q. Vector

\overrightarrow{A B}

has an initial point

(3,4)

, an

x

component of

5

, and a

y

component of

4

\newline

Find the coordinates of the terminal point,

B

\newline

B=(\square, \square)

Finding x-coordinate of terminal point: The $x$ component of the vector $\vec{AB}$ represents the horizontal change from the initial point to the terminal point. Since the $x$ component is $5$ , we add this to the $x$ -coordinate of the initial point to find the $x$ -coordinate of the terminal point. $\newline$ $3$ (initial $x$ -coordinate) + $5$ ( $x$ component) = $\vec{AB}$ $0$
Finding y-coordinate of terminal point: The y component of the vector $\vec{AB}$ represents the vertical change from the initial point to the terminal point. Since the y component is $4$ , we add this to the y-coordinate of the initial point to find the y-coordinate of the terminal point. $4$ (initial y-coordinate) + $4$ (y component) = $8$
Coordinates of terminal point B: Combining the results from the previous steps, we find that the coordinates of the terminal point B are $(8, 8)$ .