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Find the distance between the points $(4,7)$ and $(10,7)$ . $\newline$ ____ units

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Find the magnitude of a three-dimensional vector

Full solution

Q. Find the distance between the points

(4,7)

and

(10,7)

.

\newline

____ units

Calculate Coordinates Difference: Calculate the difference in $x$ -coordinates and $y$ -coordinates between the two points. $x_2 - x_1 = 10 - 4 = 6$ $y_2 - y_1 = 7 - 7 = 0$
Use Distance Formula: Use the distance formula to find the distance between the points: $\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ . $\newline$ $\text{distance} = \sqrt{(6)^2 + (0)^2}$ $\newline$ $\text{distance} = \sqrt{36}$ $\newline$ $\text{distance} = 6$

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