Compute the distance between the points.
-$( a , b , c ) , ( - 4,8,6 )$
A) $( ( a + 4 ) + ( b - 8 ) + ( c - 6 ) ) ^ { 2 }$
B) $a + b + c - ( - 4 + 8 + 6 )$
C) $\sqrt { ( a + 4 ) ^ { 2 } + ( b - 8 ) ^ { 2 } + ( c - 6 ) ^ { 2 } }$
D) $( a + 4 ) ^ { 2 } + ( b - 8 ) ^ { 2 } + ( c - 6 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

The distance between two points in 3D space is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$. Applying this formula to the given points $(a, b, c)$ and $(-4, 8, 6)$, we get $\sqrt{(a - (-4))^2 + (b - 8)^2 + (c - 6)^2}$ or $\sqrt{(a + 4)^2 + (b - 8)^2 + (c - 6)^2}$.

Compute the Distance Between the Points (a,b,c),(−4,8,6)( a , b , c ) , ( - 4,8,6 )(a,b,c),(−4,8,6)

Compute the Distance Between the Points $( a , b , c ) , ( - 4,8,6 )$