Question

Find the distance between the points $\text{P}(-2,4,1)$ and $\text{Q}(1,2,-5)$.

Answer 1

We know, the distance between two points $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ is given as

$\text{Distance}=\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2+(z_2-z_1{)}^2}$

$\therefore PQ=\sqrt{(1-(-2){)}^2+(2-4{)}^2+(-5-1{)}^2}=\sqrt{9+4+36}=\sqrt{49}=7$ units