Find the distance between the points L(7,−1) and M(−2, 4).

asked Mar 20, 2021 66.5k views

4 votes

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5 votes

Answer:

d=√(106)

$d \approx 10.3$

Explanation:

Consider the vector

$\vec v = \overrightarrow{LM}$

$\overrightarrow{LM}=M-L=(-2, 4)-(7-1)=(-9, 5)$

The distance is equal to the norm:

$d=||\vec v || = √((-9)^2 + 5^2)= √(81+25)= √(106)$

$d \approx 10.3$

Deju answered Mar 27, 2021

by Deju

5.8k points

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