Find the distance from P1 to P2.
-$$P _ { 1 } = ( - 3,1,1 ) \text { and } P _ { 2 } = ( 1,0 , - 3 )$$
A) $4 \sqrt { 2 }$
B) $\sqrt { 33 }$
C) $\sqrt { 31 }$
D) $\sqrt { 17 }$

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 $P_1 = (-3, 1, 1)$ and $P_2 = (1, 0, -3)$ into the formula gives $\sqrt{(1 - (-3))^2 + (0 - 1)^2 + (-3 - 1)^2} = \sqrt{4^2 + (-1)^2 + (-4)^2} = \sqrt{16 + 1 + 16} = \sqrt{33}$.

Find the Distance from P1 to P2 P1=(−3,1,1) and P2=(1,0,−3)P _ { 1 } = ( - 3,1,1 ) \text { and } P _ { 2 } = ( 1,0 , - 3 )P1​=(−3,1,1) and P2​=(1,0,−3)

Find the Distance from P1 to P2 $P _ { 1 } = ( - 3,1,1 ) \text { and } P _ { 2 } = ( 1,0 , - 3 )$