Find the distance from P1 to P2.
-$$\mathrm { P } _ { 1 } = ( 2,2 , - 1 ) \text { and } \mathrm { P } _ { 2 } = ( - 1 , - 3,2 )$$
A) 5
B) $\sqrt { 43 }$
C) $\sqrt { 35 }$
D) $3 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

The distance between two points $P_1(x_1, y_1, z_1)$ and $P_2(x_2, y_2, z_2)$ in 3D space is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$. Substituting the given points $P_1 = (2, 2, -1)$ and $P_2 = (-1, -3, 2)$ into the formula gives $\sqrt{(-1 - 2)^2 + (-3 - 2)^2 + (2 - (-1))^2} = \sqrt{(-3)^2 + (-5)^2 + 3^2} = \sqrt{9 + 25 + 9} = \sqrt{43}$.

Find the Distance from P1 to P2 P1=(2,2,−1) and P2=(−1,−3,2)\mathrm { P } _ { 1 } = ( 2,2 , - 1 ) \text { and } \mathrm { P } _ { 2 } = ( - 1 , - 3,2 )P1​=(2,2,−1) and P2​=(−1,−3,2)

Find the Distance from P1 to P2 $\mathrm { P } _ { 1 } = ( 2,2 , - 1 ) \text { and } \mathrm { P } _ { 2 } = ( - 1 , - 3,2 )$