Calculate the requested distance.
-The distance from the point S( , -6, 8) to the plane 2x + 2y + z = -6
A) 2
B) $\frac { 10 } { 9 }$
C) 6
D) $\frac { 10 } { 3 }$

Question

Calculate the requested distance.
-The distance from the point S( , -6, 8) to the plane 2x + 2y + z = -6 
A) 2
B) $\frac { 10 } { 9 }$
C) 6
D) $\frac { 10 } { 3 }$

Quizplus · Accepted Answer

To find the distance from a point to a plane, we use the formula:
distance = |ax + by + cz + d| / sqrt(a^2 + b^2 + c^2)
where (x, y, z) are the coordinates of the point, and a, b, c, and d are the coefficients of the equation of the plane.
In this case, a = 2, b = 2, c = 1, and d = -6. Plugging in the coordinates of S, we get:
distance = |2( ) + 2(-6) + 1(8) - 6| / sqrt(2^2 + 2^2 + 1^2) = 10/3
Therefore, the answer is D.

Calculate the Requested Distance 109\frac { 10 } { 9 }910​

Calculate the Requested Distance $\frac { 10 } { 9 }$