Question

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

Answer 1

`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`