Vector vec(a) has an initial point (-2,5) and a terminal point (-5,7). Find the components of vector vec(a). vec(a)=(◻,◻)

Identify initial and terminal points: Identify the initial and terminal points of the vector. The initial point of vector vec(a) is (-2,5), and the terminal point is (-5,7).Calculate change in x-component: Calculate the change in the x-component. The change in the x-component (Δx) is found by subtracting the x-coordinate of the initial point from the x-coordinate of the terminal point. Δx = -5 - (-2) = -5 + 2 = -3Calculate change in y-component: Calculate the change in the y-component. The change in the y-component (Δy) is found by subtracting the y-coordinate of the initial point from the y-coordinate of the terminal point. Δy = 7 - 5 = 2Write vector components: Write the components of the vector. The components of vector vec(a) are (Δx, Δy), which we have calculated in the previous steps. vec(a) = (-3, 2)

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Math Problems

Algebra 1

Equations of horizontal and vertical lines

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Q. Vector

\vec{a}

has an initial point

(-2,5)

and a terminal point

(-5,7)

\newline

Find the components of vector

\vec{a}

\newline

\vec{a}=(\square, \square)

Identify initial and terminal points: Identify the initial and terminal points of the vector. The initial point of vector $\vec{a}$ is $(-2,5)$ , and the terminal point is $(-5,7)$ .
Calculate change in x-component: Calculate the change in the x-component. $\newline$ The change in the x-component ( $\Delta x$ ) is found by subtracting the x-coordinate of the initial point from the x-coordinate of the terminal point. $\newline$ $\Delta x = -5 - (-2) = -5 + 2 = -3$
Calculate change in y-component: Calculate the change in the y-component. $\newline$ The change in the y-component ( $\Delta y$ ) is found by subtracting the y-coordinate of the initial point from the y-coordinate of the terminal point. $\newline$ $\Delta y = 7 - 5 = 2$
Write vector components: Write the components of the vector. The components of vector $\vec{a}$ are $(\Delta x, \Delta y)$ , which we have calculated in the previous steps. $\vec{a} = (-3, 2)$