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Find the distance between the points $(7,8)$ and $(7,4)$ . $\newline$ ____ units

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Find the magnitude of a three-dimensional vector

Full solution

Q. Find the distance between the points

(7,8)

and

(7,4)

.

\newline

____ units

Calculate Differences: Calculate the difference in the $x$ -coordinates and $y$ -coordinates of the two points. $\newline$ $x_2 - x_1 = 7 - 7 = 0$ $\newline$ $y_2 - y_1 = 4 - 8 = -4$
Use Distance Formula: Use the distance formula: $\text{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . $\newline$ $\text{Distance} = \sqrt{(0)^2 + (-4)^2}$ $\newline$ $\text{Distance} = \sqrt{0 + 16}$ $\newline$ $\text{Distance} = \sqrt{16}$
Simplify Square Root: Simplify the square root to find the final distance. Distance = $4$

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